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Volumn , Issue , 2005, Pages 1-512

Approximate solution of operator equations with applications

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS;

EID: 84967638928     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/5851     Document Type: Book
Times cited : (24)

References (299)
  • 2
    • 0022661397 scopus 로고
    • A mesh-independence principle for operator equations and their discretizations
    • Allgower, E. L., Bohmer, K., Potra, F. A., Rheinboldt, W. C, A mesh-independence principle for operator equations and their discretizations, SIAM J. Numer. Anal., 23,(1986), no. 1,160-169.
    • (1986) SIAM J. Numer. Anal , vol.23 , Issue.1 , pp. 160-169
    • Allgower, E.L.1    Bohmer, K.2    Potra, F.A.3    Rheinboldt, W.C.4
  • 3
    • 0037114647 scopus 로고    scopus 로고
    • A class of quasi-Newton generalized Steffensen methods on Banach spaces
    • Amat, S., Busquier, S., and Candela, V., A class of quasi-Newton generalized Steffensen methods on Banach spaces, J. Comput. Appl. Math. 149 (2002), 397-408.
    • (2002) J. Comput. Appl. Math , vol.149 , pp. 397-408
    • Amat, S.1    Busquier, S.2    Candela, V.3
  • 5
    • 0141937379 scopus 로고    scopus 로고
    • An extension cf the Newton-Kantorovich method for solving nonlinear equations with applications to elasticity
    • Anselone, P.M. and Moore, R.H., An extension cf the Newton-Kantorovich method for solving nonlinear equations with applications to elasticity, J. Math. Anal. Appl. 13 (1996), 476-501
    • (1996) J. Math. Anal. Appl , vol.13 , pp. 476-501
    • Anselone, P.M.1    Moore, R.H.2
  • 6
    • 0030622898 scopus 로고    scopus 로고
    • New results on Newton-Kantorovich approximations with applications to nonlinear integral equations
    • Appell, J., DePascale, E., Lysenko, J.V. and Zabrejko, P.P., New results on Newton-Kantorovich approximations with applications to nonlinear integral equations, Numer. Fund. Anal, and Optimiz. 18,(1&2) (1997), 1-17.
    • (1997) Numer. Fund. Anal, and Optimiz , vol.18 , Issue.1 , pp. 1-17
    • Appell, J.1    DePascale, E.2    Lysenko, J.V.3    Zabrejko, P.P.4
  • 7
    • 84971139349 scopus 로고
    • Quadratic equations and applications to Chandrasekhar’s and related equations
    • Argyros, I.K., Quadratic equations and applications to Chandrasekhar’s and related equations, Bull. Austral. Math. Soc. 32 (1985), 275-297
    • (1985) Bull. Austral. Math. Soc , vol.32 , pp. 275-297
    • Argyros, I.K.1
  • 8
    • 84891984765 scopus 로고
    • On the cardinality of solutions of multilinear differential equations and applications
    • Argyros, I.K., On the cardinality of solutions of multilinear differential equations and applications, Intern. J. Math, and MAth. Sci. 9, 4 (1986), 757-766
    • (1986) Intern. J. Math, and MAth. Sci , vol.9 , Issue.4 , pp. 757-766
    • Argyros, I.K.1
  • 9
    • 0004616127 scopus 로고
    • On the approximation of some nonlinear equations
    • Argyros, I.K., On the approximation of some nonlinear equations, Aequationes Mathematicae, 32 (1987), 87-95.
    • (1987) Aequationes Mathematicae , vol.32 , pp. 87-95
    • Argyros, I.K.1
  • 10
    • 84892932907 scopus 로고
    • On polynomial equations in Banach space, perturbation techniques and applications
    • Argyros, I.K., On polynomial equations in Banach space, perturbation techniques and applications, Intern. J. MAth. and Math. Sci. 10,1 (1987), 69-78.
    • (1987) Intern. J. MAth. and Math. Sci , vol.10 , Issue.1 , pp. 69-78
    • Argyros, I.K.1
  • 11
    • 84971721789 scopus 로고
    • Newton-like methods under mild differentiability conditions with error analysis
    • Argyros, I.K., Newton-like methods under mild differentiability conditions with error analysis, Bull. Austral. Math. Soc, 37 (1987), 131-147.
    • (1987) Bull. Austral. Math. Soc , vol.37 , pp. 131-147
    • Argyros, I.K.1
  • 12
    • 84974081604 scopus 로고
    • On Newton’s method and nondiscrete mathematical induction
    • Argyros, I.K., On Newton’s method and nondiscrete mathematical induction, Bull. Austral. Math. Soc. 38 (1988), 131-140.
    • (1988) Bull. Austral. Math. Soc , vol.38 , pp. 131-140
    • Argyros, I.K.1
  • 13
    • 33748093002 scopus 로고
    • On the Secant method and fixed points of nonlinear equations
    • Argyros, I.K., On the Secant method and fixed points of nonlinear equations, Monatschfte fur Mathematik, 106 (1988), 85-94.
    • (1988) Monatschfte fur Mathematik , vol.106 , pp. 85-94
    • Argyros, I.K.1
  • 14
    • 0039797363 scopus 로고
    • On a class of nonlinear integral equations arising in neutron transport
    • Argyros, I.K., On a class of nonlinear integral equations arising in neutron transport, Aequationes Mathematicae, 36 (1988), 99-111
    • (1988) Aequationes Mathematicae , vol.36 , pp. 99-111
    • Argyros, I.K.1
  • 15
    • 84892072987 scopus 로고
    • On the number of solutions of some integral equations arising in radiative transfer
    • Argyros, I.K., On the number of solutions of some integral equations arising in radiative transfer, Intern. J. Math, and Math. Sci. 12,2 (1989), 297-304
    • (1989) Intern. J. Math, and Math. Sci , vol.12 , Issue.2 , pp. 297-304
    • Argyros, I.K.1
  • 16
    • 51649146788 scopus 로고
    • Improved error bounds for a certain class of Newton-like methods
    • Argyros, I.K., Improved error bounds for a certain class of Newton-like methods, J. Approx. Th. and Its Applic. 61 (1990), 80-98
    • (1990) J. Approx. Th. and Its Applic , vol.61 , pp. 80-98
    • Argyros, I.K.1
  • 17
    • 26444529980 scopus 로고
    • Error founds for the modified secant method
    • Argyros, I.K., Error founds for the modified secant method, BIT, 20 (1990), 92-200.
    • (1990) BIT , vol.20 , pp. 92-200
    • Argyros, I.K.1
  • 18
    • 0039319891 scopus 로고
    • On the solution of equations with nondifferentiable operators and the Ptak error estimates
    • Argyros, I.K., On the solution of equations with nondifferentiable operators and the Ptak error estimates, BIT, 30 (1990), 752-754.
    • (1990) BIT , vol.30 , pp. 752-754
    • Argyros, I.K.1
  • 19
    • 44949269972 scopus 로고
    • On some projection methods for the approximation of implicit functions
    • Argyros, I.K., On some projection methods for the approximation of implicit functions, Appl. Math. Letters, 32 (1990), 5-7.
    • (1990) Appl. Math. Letters , vol.32 , pp. 5-7
    • Argyros, I.K.1
  • 20
    • 0001470741 scopus 로고
    • The Newton-Kantorovich method under mild differentiability conditions and the Ptak error estimates
    • Argyros, I.K., The Newton-Kantorovich method under mild differentiability conditions and the Ptak error estimates, Monatschefte fur Mathematik 109,5 (1990), 110-128.
    • (1990) Monatschefte fur Mathematik , vol.109 , Issue.5 , pp. 110-128
    • Argyros, I.K.1
  • 21
    • 0007259761 scopus 로고
    • The secant method in generalized Banach spaces
    • Argyros, I.K., The secant method in generalized Banach spaces, Appl. Math. and Comp. 39 (1990), 111-121.
    • (1990) Appl. Math. and Comp , vol.39 , pp. 111-121
    • Argyros, I.K.1
  • 22
    • 0025566912 scopus 로고
    • A mesh independence principle for operator equations and their discretizations under mild differentiability conditions
    • Argyros, I, K. A mesh independence principle for operator equations and their discretizations under mild differentiability conditions, Computing 45, (1990), 265-268.
    • (1990) Computing , vol.45 , pp. 265-268
    • Argyros, I.K.1
  • 23
    • 0009459741 scopus 로고
    • On the convergence of some projection methods with perturbation
    • Argyros, I.K., On the convergence of some projection methods with perturbation, J. Comp. and Appl. Math., 36 (1991), 255-258.
    • (1991) J. Comp. and Appl. Math , vol.36 , pp. 255-258
    • Argyros, I.K.1
  • 24
    • 84892060930 scopus 로고
    • On an application of the Zincenko method to the approximation of implicit functions
    • Argyros, I.K., On an application of the Zincenko method to the approximation of implicit functions, Public. Math. Debrecen, 39 (3-4) (1991), 1-7.
    • (1991) Public. Math. Debrecen , vol.39 , Issue.3-4 , pp. 1-7
    • Argyros, I.K.1
  • 25
    • 67349083655 scopus 로고    scopus 로고
    • On an iterative algorithm for solving nonlinear equations
    • Argyros, I.K., On an iterative algorithm for solving nonlinear equations, Beitrage ziir Numerischen Math., 10, 1 (1991), 83-92.
    • Beitrage ziir Numerischen Math , vol.10 , Issue.1
    • Argyros, I.K.1
  • 26
    • 0004507915 scopus 로고
    • On a class of quadratic equations with perturbation
    • Argyros, I.K., On a class of quadratic equations with perturbation, Funct. et Approx. Comm. Math. XX (1992), 51-63.
    • (1992) Funct. et Approx. Comm. Math , vol.20 , pp. 51-63
    • Argyros, I.K.1
  • 27
    • 84891974594 scopus 로고
    • Improved error bounds for the modified secant method
    • Argyros, I.K., Improved error bounds for the modified secant method, Intern. J. Computer Math., 43,(1&2) (1992), 99-109.
    • (1992) Intern. J. Computer Math , vol.43 , Issue.1 , pp. 99-109
    • Argyros, I.K.1
  • 28
    • 44049124717 scopus 로고
    • Some generalized projection methods for solving operator equations
    • Argyros, I.K., Some generalized projection methods for solving operator equations, J. Comp. and Appl. Math. 39,1 (1992), 1-6.
    • (1992) J. Comp. and Appl. Math , vol.39 , Issue.1 , pp. 1-6
    • Argyros, I.K.1
  • 29
    • 44049111319 scopus 로고
    • On the convergence of generalized Newton-methods and implicit functions
    • Argyros, I.K., On the convergence of generalized Newton-methods and implicit functions, J. Comp. and Appl. Math. 43 (1992), 335-342.
    • (1992) J. Comp. and Appl. Math , vol.43 , pp. 335-342
    • Argyros, I.K.1
  • 30
    • 84892047046 scopus 로고
    • On the convergence of inexact Newton-like methods
    • Argyros, I.K., On the convergence of inexact Newton-like methods, Publ. Math. Debrecen 42,(1&2) (1992), 1-7.
    • (1992) Publ. Math. Debrecen , vol.42 , Issue.1 , pp. 1-7
    • Argyros, I.K.1
  • 31
    • 38249002893 scopus 로고
    • On the convergence of a Chebysheff-Halley-type method under Newton-Kantorovich hypothesis
    • Argyros, I.K., On the convergence of a Chebysheff-Halley-type method under Newton-Kantorovich hypothesis, Appl. Math. Letters 5, 5 (1993), 71-74.
    • (1993) Appl. Math. Letters , vol.5 , Issue.5 , pp. 71-74
    • Argyros, I.K.1
  • 32
    • 51649132586 scopus 로고
    • Newton-like methods in partially ordered linear spaces
    • Argyros, I.K., Newton-like methods in partially ordered linear spaces, J. Approx. Th. and its Applic. 9, 1 (1993), 1-10.
    • (1993) J. Approx. Th. and its Applic , vol.9 , Issue.1 , pp. 1-10
    • Argyros, I.K.1
  • 33
    • 0007239131 scopus 로고
    • On the solution of un determined systems of nonlinear equations in Euclidean spaces
    • Argyros, I.K., On the solution of un determined systems of nonlinear equations in Euclidean spaces, Pure Math. Appl. 4,3 (1993), 199-209.
    • (1993) Pure Math. Appl , vol.4 , Issue.3 , pp. 199-209
    • Argyros, I.K.1
  • 34
    • 0039205183 scopus 로고
    • A convergence theorem for Newton-like methods under generalized Chen-Yamamato-type assumptions
    • Argyros, I.K., A convergence theorem for Newton-like methods under generalized Chen-Yamamato-type assumptions, Appl. Math. Comp. 61, 1 (1994), 25-37.
    • (1994) Appl. Math. Comp , vol.61 , Issue.1 , pp. 25-37
    • Argyros, I.K.1
  • 35
    • 0007233149 scopus 로고
    • On the discretization of Newton-like methods
    • Argyros, I.K., On the discretization of Newton-like methods, Internat. J. Computer. Math. 52 (1994), 161-170.
    • (1994) Internat. J. Computer. Math , vol.52 , pp. 161-170
    • Argyros, I.K.1
  • 36
    • 0008854050 scopus 로고
    • A unified approach for constructing fast two-step Newton-like methods
    • Argyros, I.K., A unified approach for constructing fast two-step Newton-like methods, Mh. Math. 119 (1995), 1-22.
    • (1995) Mh. Math , vol.119 , pp. 1-22
    • Argyros, I.K.1
  • 37
    • 0009420678 scopus 로고
    • Results on controlling the residuals of perturbed Newton-like methods on Banach spaces with aconvergence structure
    • Argyros, I.K., Results on controlling the residuals of perturbed Newton-like methods on Banach spaces with aconvergence structure, Southwest J. Pure Appl. Math. 1 (1995), 32-38.
    • (1995) Southwest J. Pure Appl. Math , vol.1 , pp. 32-38
    • Argyros, I.K.1
  • 38
    • 0002151533 scopus 로고    scopus 로고
    • On the method of tangent hyperbolas
    • Argyros, I.K., On the method of tangent hyperbolas, J. Appr. Th. Appl. 12, 1 (1996), 78-96.
    • (1996) J. Appr. Th. Appl , vol.12 , Issue.1 , pp. 78-96
    • Argyros, I.K.1
  • 39
    • 30244517082 scopus 로고    scopus 로고
    • On an extension of the mesh-independence principle for operator equations in Banach space
    • Argyros, I.K., On an extension of the mesh-independence principle for operator equations in Banach space, Appl. Math. Lett. 9, 3 (1996), 1-7.
    • (1996) Appl. Math. Lett , vol.9 , Issue.3 , pp. 1-7
    • Argyros, I.K.1
  • 40
    • 84892033145 scopus 로고    scopus 로고
    • A generalization of Edelstein’s theorem on fixed points and applications
    • Argyros, I.K., A generalization of Edelstein’s theorem on fixed points and applications, Southwest J. Pure Appl. Math. 2 (1996), 60-64.
    • (1996) Southwest J. Pure Appl. Math , vol.2 , pp. 60-64
    • Argyros, I.K.1
  • 41
    • 84875939314 scopus 로고    scopus 로고
    • Chebysheff-Halley-like methods in Banach spaces
    • Argyros, I.K., Chebysheff-Halley-like methods in Banach spaces, Korean J. Comp. Appl. Math. 4, 1(1997), 83-107.
    • (1997) Korean J. Comp. Appl. Math , vol.4 , Issue.1 , pp. 83-107
    • Argyros, I.K.1
  • 42
    • 0031096853 scopus 로고    scopus 로고
    • Concerning the convergence of inexact Newton methods
    • Argyros, I.K., Concerning the convergence of inexact Newton methods, J. Comp. Appl. Math. 79 (1997), 235-247.
    • (1997) J. Comp. Appl. Math , vol.79 , pp. 235-247
    • Argyros, I.K.1
  • 43
    • 84892076055 scopus 로고    scopus 로고
    • General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces
    • Argyros, I.K., General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces, Southwest J. Pure Appl. Math. 2 (1997), 1-12.
    • (1997) Southwest J. Pure Appl. Math , vol.2 , pp. 1-12
    • Argyros, I.K.1
  • 44
    • 0032378878 scopus 로고    scopus 로고
    • On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations
    • Argyros, I.K., On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations, IMA J. Num. Anal. 18 (1997), 43-47.
    • (1997) IMA J. Num. Anal , vol.18 , pp. 43-47
    • Argyros, I.K.1
  • 45
    • 16444378780 scopus 로고    scopus 로고
    • On the convergence of two-step methods generated by point-to-point operators
    • Argyros, I.K., On the convergence of two-step methods generated by point-to-point operators, Appl. Math. Comput. 82, 1(1997), 85-96.
    • (1997) Appl. Math. Comput , vol.82 , Issue.1 , pp. 85-96
    • Argyros, I.K.1
  • 46
    • 0043128795 scopus 로고    scopus 로고
    • Improved error bounds for Newton-like iterations under Chen-Yamamoto assumptions
    • Argyros, I.K., Improved error bounds for Newton-like iterations under Chen-Yamamoto assumptions, Appl. Math. Letters, 10, 4 (1997), 97-100.
    • (1997) Appl. Math. Letters , vol.10 , Issue.4 , pp. 97-100
    • Argyros, I.K.1
  • 47
    • 67949117686 scopus 로고    scopus 로고
    • Inexact Newton methods and nondifferentiable operator equations on Banach spaces with a convergence structure
    • Argyros, I.K., Inexact Newton methods and nondifferentiable operator equations on Banach spaces with a convergence structure, Approx. Th. Applic. 13, 3 (1997), 91-104.
    • (1997) Approx. Th. Applic , vol.13 , Issue.3 , pp. 91-104
    • Argyros, I.K.1
  • 48
    • 16444378063 scopus 로고    scopus 로고
    • A mesh independence principle for inexact Newton-like methods and their discretizations under generalized Lipschitz conditions
    • Argyros, I.K., A mesh independence principle for inexact Newton-like methods and their discretizations under generalized Lipschitz conditions, Appl. Math. Comp. 87 (1997), 15-48.
    • (1997) Appl. Math. Comp , vol.87 , pp. 15-48
    • Argyros, I.K.1
  • 49
    • 0031096853 scopus 로고    scopus 로고
    • Concerning the convergence of inexact Newton methods
    • Argyros, I.K., Concerning the convergence of inexact Newton methods, J. Comp. Appl. Math. 79 (1997), 235-247.
    • (1997) J. Comp. Appl. Math , vol.79 , pp. 235-247
    • Argyros, I.K.1
  • 50
    • 0002372723 scopus 로고    scopus 로고
    • Smoothness and perturbed Newton-like methods
    • Argyros, I.K., Smoothness and perturbed Newton-like methods, Pure Math. Appl. 8,1 (1997), 13-28.
    • (1997) Pure Math. Appl , vol.8 , Issue.1 , pp. 13-28
    • Argyros, I.K.1
  • 51
    • 0007764892 scopus 로고    scopus 로고
    • The asymptotic mesh independence principle for inexact Newton-Galerkin-like methods
    • Argyros, I.K., The asymptotic mesh independence principle for inexact Newton-Galerkin-like methods, Pure Math. Applic. 8, (2 & 3) (1997), 169-194.
    • (1997) Pure Math. Applic , vol.8 , Issue.2 , pp. 169-194
    • Argyros, I.K.1
  • 52
    • 0032120184 scopus 로고    scopus 로고
    • On the convergence of a certain class of iterative procedures under relaxed conditions with applications
    • Argyros, I.K., On the convergence of a certain class of iterative procedures under relaxed conditions with applications, J. Comp. Appl. Math. 94 (1998), 13-21.
    • (1998) J. Comp. Appl. Math , vol.94 , pp. 13-21
    • Argyros, I.K.1
  • 53
    • 84888290853 scopus 로고    scopus 로고
    • Sufficient conditions for constructing methods faster than Newton’s
    • Argyros, I.K., Sufficient conditions for constructing methods faster than Newton’s, Appl. Math. Comp. 93 (1998), 169-181.
    • (1998) Appl. Math. Comp , vol.93 , pp. 169-181
    • Argyros, I.K.1
  • 55
    • 0032182525 scopus 로고    scopus 로고
    • A new convergence theorem for the Jarratt method in Banach spaces
    • Argyros, I.K., A new convergence theorem for the Jarratt method in Banach spaces, Computers and Mathematics with Applications, 36, 8 (1998), 13-18.
    • (1998) Computers and Mathematics with Applications , vol.36 , Issue.8 , pp. 13-18
    • Argyros, I.K.1
  • 56
    • 84892046624 scopus 로고    scopus 로고
    • Improving the order and rates of convergence for the Super-Halley method in Banach spaces
    • Argyros, I.K., Improving the order and rates of convergence for the Super-Halley method in Banach spaces, Comp. Appl. Math. 5, 2 (1998), 465-474.
    • (1998) Comp. Appl. Math , Issue.5 , pp. 465-474
    • Argyros, I.K.1
  • 57
    • 0040710416 scopus 로고    scopus 로고
    • Improved error bounds for a Chebysheff-Halley-type method
    • Argyros, I.K., Improved error bounds for a Chebysheff-Halley-type method, Acta Math. Hungarica, 84, 3 (1999), 211-221.
    • (1999) Acta Math. Hungarica , vol.84 , Issue.3 , pp. 211-221
    • Argyros, I.K.1
  • 58
    • 0033293319 scopus 로고    scopus 로고
    • Relations between forcing sequences and inexact Newton iterates in Banach space
    • Argyros, I.K., Relations between forcing sequences and inexact Newton iterates in Banach space, Computing 63(1999), 131-144.
    • (1999) Computing , vol.63 , pp. 131-144
    • Argyros, I.K.1
  • 59
    • 0346996008 scopus 로고    scopus 로고
    • Convergence domains for some iterative processes in Banach spaces using outer and generalized inverses
    • Argyros, I.K., Convergence domains for some iterative processes in Banach spaces using outer and generalized inverses, Comput. Anal. Applic. 1, 1 (1999), 87-104.
    • (1999) Comput. Anal. Applic , vol.1 , Issue.1 , pp. 87-104
    • Argyros, I.K.1
  • 60
    • 26444587260 scopus 로고    scopus 로고
    • Concerning the convergence of a modified Newton-like method
    • Argyros, I.K., Concerning the convergence of a modified Newton-like method, Journal for Analysis and its Applications (ZAA), 18,3 (1999), 1-8.
    • (1999) Journal for Analysis and its Applications (ZAA) , vol.18 , Issue.3 , pp. 1-8
    • Argyros, I.K.1
  • 61
    • 0346996008 scopus 로고    scopus 로고
    • Convergence domains for some iterative processes in Banach spaces using outer and generalized inverses
    • Argyros, I.K., Convergence domains for some iterative processes in Banach spaces using outer and generalized inverses, J. Comput. Anal. and Applic. 1, 1 (1999), 87-104.
    • (1999) J. Comput. Anal. and Applic , vol.1 , Issue.1 , pp. 87-104
    • Argyros, I.K.1
  • 62
    • 0006518075 scopus 로고    scopus 로고
    • Concerning the radius of convergence of Newton’s method and applications
    • Argyros, I.K., Concerning the radius of convergence of Newton’s method and applications, Korean J. Comp. Appl. Math. 6,3 (1999), 451-462.
    • (1999) Korean J. Comp. Appl. Math , vol.6 , Issue.3 , pp. 451-462
    • Argyros, I.K.1
  • 63
    • 0001076644 scopus 로고    scopus 로고
    • Convergence rates for inexact Newton-like methods of singular points and applications
    • Argyros, I.K., Convergence rates for inexact Newton-like methods of singular points and applications, Appl. Math. Comp. 102 (1999), 185-201.
    • (1999) Appl. Math. Comp , vol.102 , pp. 185-201
    • Argyros, I.K.1
  • 64
    • 84967476005 scopus 로고    scopus 로고
    • Choosing the forcing sequences for inexact Newton methods in Banach space
    • Argyros, I.K., Choosing the forcing sequences for inexact Newton methods in Banach space, Comput. Appl. Math. 19, 1 (2000), 79-89.
    • (2000) Comput. Appl. Math , vol.19 , Issue.1 , pp. 79-89
    • Argyros, I.K.1
  • 66
    • 0041116657 scopus 로고    scopus 로고
    • Local convergence of inexact Newton-like iterative methods and applications
    • Argyros, I.K., Local convergence of inexact Newton-like iterative methods and applications, Computers and Mathematics with Application 39 (2000), 69-75.
    • (2000) Computers and Mathematics with Application , vol.39 , pp. 69-75
    • Argyros, I.K.1
  • 67
    • 84892915838 scopus 로고    scopus 로고
    • A mesh independence principle for perturbed Newton-like methods and their discretizations
    • Argyros, I.K., A mesh independence principle for perturbed Newton-like methods and their discretizations, Korean J. Comp. Appl. Math. 7,1(2000), 139-159.
    • (2000) Korean J. Comp. Appl. Math , vol.7 , Issue.1 , pp. 139-159
    • Argyros, I.K.1
  • 69
    • 0034230844 scopus 로고    scopus 로고
    • Newton methods on Banach spaces with a convergence structure and applications
    • Argyros, I.K., Newton methods on Banach spaces with a convergence structure and applications, Computers and Math. with Appl. Intern. J. Pergamon Press 40, 1 (2000), 37-48.
    • (2000) Computers and Math. with Appl. Intern. J. Pergamon Press , vol.40 , Issue.1 , pp. 37-48
    • Argyros, I.K.1
  • 70
    • 0039248949 scopus 로고    scopus 로고
    • Forcing sequences and inexact Newton iterates in Banach space
    • Argyros, I.K., Forcing sequences and inexact Newton iterates in Banach space, Appl. Math. Letters. 13 (2000), 77-80.
    • (2000) Appl. Math. Letters , vol.13 , pp. 77-80
    • Argyros, I.K.1
  • 71
    • 84967476005 scopus 로고    scopus 로고
    • Choosing the forcing sequences for inexact Newton methods in Banach space
    • Argyros, I.K., Choosing the forcing sequences for inexact Newton methods in Banach space, Comput. Appl. Math., 19,1 (2000), 79-89.
    • (2000) Comput. Appl. Math , vol.19 , Issue.1 , pp. 79-89
    • Argyros, I.K.1
  • 72
    • 0041116657 scopus 로고    scopus 로고
    • Local convergence of inexact Newton-like iterative methods and applications
    • Argyros, I.K., Local convergence of inexact Newton-like iterative methods and applications, Computers and Mathematics with Application 39 (2000), 69-75.
    • (2000) Computers and Mathematics with Application , vol.39 , pp. 69-75
    • Argyros, I.K.1
  • 73
    • 84892939167 scopus 로고    scopus 로고
    • Semilocal convergence theorems for a certain class of iterative procedures using outer or generalized inverses
    • Argyros, I.K., Semilocal convergence theorems for a certain class of iterative procedures using outer or generalized inverses, Korean J. Comp. Appl. Math. 7, 1 (2000), 29-40.
    • (2000) Korean J. Comp. Appl. Math , vol.7 , Issue.1 , pp. 29-40
    • Argyros, I.K.1
  • 74
    • 84892042157 scopus 로고    scopus 로고
    • The effect of rounding errors on a certain class of iterative methods
    • Argyros, I.K., The effect of rounding errors on a certain class of iterative methods, Applicationes Mathematicae, 27,3 (2000), 369-375.
    • (2000) Applicationes Mathematicae , vol.27 , Issue.3 , pp. 369-375
    • Argyros, I.K.1
  • 75
    • 0035648886 scopus 로고    scopus 로고
    • Local convergence of Newton’s method for nonlinear equations using outer or generalized inverses
    • Argyros, I.K., Local convergence of Newton’s method for nonlinear equations using outer or generalized inverses, Chechoslovak Math. J., 50, (125), (2000), 603-614.
    • (2000) Chechoslovak Math. J , vol.50 , Issue.125 , pp. 603-614
    • Argyros, I.K.1
  • 76
    • 0010104487 scopus 로고    scopus 로고
    • On a class of nonlinear implicit quasivariational inequalities
    • Argyros, I.K., On a class of nonlinear implicit quasivariational inequalities, Pan American Math. J. 10,4 (2000), 101-109.
    • (2000) Pan American Math. J , vol.10 , Issue.4 , pp. 101-109
    • Argyros, I.K.1
  • 77
    • 0012254431 scopus 로고    scopus 로고
    • A new semilocal convergence theorem for Newton’s method in Ba-nach space using hypotheses on the second Frechet-derivative
    • Argyros, I.K., A new semilocal convergence theorem for Newton’s method in Ba-nach space using hypotheses on the second Frechet-derivative, J. Comput. Appl. Math. 139,(2001), 369-373.
    • (2001) J. Comput. Appl. Math , vol.139 , pp. 369-373
    • Argyros, I.K.1
  • 78
    • 10144231902 scopus 로고    scopus 로고
    • On the radius of convergence of Newton’s method
    • Argyros, I.K., On the radius of convergence of Newton’s method, Intern. J. Comput. Math. 11,3 (2001), 389-400.
    • (2001) Intern. J. Comput. Math , vol.11 , Issue.3 , pp. 389-400
    • Argyros, I.K.1
  • 79
    • 0035360821 scopus 로고    scopus 로고
    • A Newton-Kantorovich theorem for equations involving m-F’rechet differentiable operators and applications in radiative transfer
    • Argyros, I.K., A Newton-Kantorovich theorem for equations involving m-F’rechet differentiable operators and applications in radiative transfer, Journ. Comp. Appl. Math. 131,1-2 (2001), 149-159.
    • (2001) Journ. Comp. Appl. Math , vol.131 , Issue.1-2 , pp. 149-159
    • Argyros, I.K.1
  • 80
    • 0039251760 scopus 로고    scopus 로고
    • Semilocal convergence theorems for Newton’s method using outer inverses and hypotheses on the second Frechet-derivative
    • Argyros, I.K., Semilocal convergence theorems for Newton’s method using outer inverses and hypotheses on the second Frechet-derivative, Monatshefte fur Mathematik, 132 (2001), 183-195.
    • (2001) Monatshefte fur Mathematik , vol.132 , pp. 183-195
    • Argyros, I.K.1
  • 81
    • 1342340230 scopus 로고    scopus 로고
    • On general auxiliary problem principle and nonlinear mixed vari-ational inequalities
    • Argyros, I.K., On general auxiliary problem principle and nonlinear mixed vari-ational inequalities, Nonlinear Functional Analysis and Applications 6,2 (2001), 247-256.
    • (2001) Nonlinear Functional Analysis and Applications , vol.6 , Issue.2 , pp. 247-256
    • Argyros, I.K.1
  • 82
    • 84892102001 scopus 로고    scopus 로고
    • On an iterative procedure for approximating solutions of quasi variational inequalities
    • Argyros, I.K., On an iterative procedure for approximating solutions of quasi variational inequalities, Advances in Nonlinear Variational Inequalities, 4, 2 (2001), 39-42.
    • (2001) Advances in Nonlinear Variational Inequalities , vol.4 , Issue.2 , pp. 39-42
    • Argyros, I.K.1
  • 84
    • 84892102001 scopus 로고    scopus 로고
    • On a semilocal convergence theorem for a class of quasi variational inequalities
    • Argyros, I.K., On a semilocal convergence theorem for a class of quasi variational inequalities, Advances in Nonlinear Inequalities, 4,2 (2001), 43-46.
    • (2001) Advances in Nonlinear Inequalities , vol.4 , Issue.2 , pp. 43-46
    • Argyros, I.K.1
  • 85
    • 0346367603 scopus 로고    scopus 로고
    • On the convergence of a Newton-like method based on ro-Frechet-differentiable operators and applications in radiative transfer
    • Argyros, I.K., On the convergence of a Newton-like method based on ro-Frechet-differentiable operators and applications in radiative transfer, J. Comput. Anal. Applic, 4, 2 (2002), 141-154.
    • (2002) J. Comput. Anal. Applic , vol.4 , Issue.2 , pp. 141-154
    • Argyros, I.K.1
  • 86
    • 0346339391 scopus 로고    scopus 로고
    • On the convergence of Newton-like methods for analytic operators and applications
    • Argyros, I.K., On the convergence of Newton-like methods for analytic operators and applications, J. Appl. Math, and Computing, 10, 1-2,(2002), 41-50.
    • (2002) J. Appl. Math, and Computing , vol.10 , Issue.1-2 , pp. 41-50
    • Argyros, I.K.1
  • 87
    • 84892905611 scopus 로고    scopus 로고
    • A unifying semilocal convergence theorem for Newton-like methods based on center Lipschitz conditions
    • Argyros, I.K., A unifying semilocal convergence theorem for Newton-like methods based on center Lipschitz conditions, Comput. Appl. Math., 21, 3 (2002), 789-796.
    • (2002) Comput. Appl. Math , vol.21 , Issue.3 , pp. 789-796
    • Argyros, I.K.1
  • 88
    • 84892069253 scopus 로고    scopus 로고
    • A semilocal convergence analysis for the method of tangent hyperbolas
    • Argyros, I.K., A semilocal convergence analysis for the method of tangent hyperbolas, Journal of Concrete and Applicable Analysis, 1,2 (2002), 135-144.
    • (2002) Journal of Concrete and Applicable Analysis , vol.1 , Issue.2 , pp. 135-144
    • Argyros, I.K.1
  • 89
    • 84858405075 scopus 로고    scopus 로고
    • New and generalized convergence conditions for the Newton-Kantorovich method
    • Argyros, I.K., New and generalized convergence conditions for the Newton-Kantorovich method, J. Appl. Anal., 9,2 (2003), 287-299.
    • (2003) J. Appl. Anal , vol.9 , Issue.2 , pp. 287-299
    • Argyros, I.K.1
  • 90
    • 1542410616 scopus 로고    scopus 로고
    • On the convergence and application of Newton’s method under weak Holder continuity assumptions
    • Argyros, I.K., On the convergence and application of Newton’s method under weak Holder continuity assumptions, International Journal of Computer Mathematics, 80,5 (2003), 767-780.
    • (2003) International Journal of Computer Mathematics , vol.80 , Issue.5 , pp. 767-780
    • Argyros, I.K.1
  • 91
    • 0038546646 scopus 로고    scopus 로고
    • On a theorem of L.V. Kantorovich concerning Newton’s method
    • Argyros, I.K., On a theorem of L.V. Kantorovich concerning Newton’s method, Journ. Comp. Appl. Math., 155,(2003), 223-230.
    • (2003) Journ. Comp. Appl. Math , vol.155 , pp. 223-230
    • Argyros, I.K.1
  • 92
    • 0043122981 scopus 로고    scopus 로고
    • An improved error analysis for Newton-like methods under generalized conditions
    • Argyros, I.K., An improved error analysis for Newton-like methods under generalized conditions, J. Comput. Appl. Math., 157, 1(2003), 169-185.
    • (2003) J. Comput. Appl. Math , vol.157 , Issue.1 , pp. 169-185
    • Argyros, I.K.1
  • 93
    • 0347603940 scopus 로고    scopus 로고
    • An improved convergence analysis and applications for Newton-like methods in Banach space
    • Argyros, I.K., An improved convergence analysis and applications for Newton-like methods in Banach space, Numerical Functional analysis and Optimization, 24,7 and 8, (2003), 653-672.
    • (2003) Numerical Functional analysis and Optimization , vol.24 , Issue.7 , pp. 653-672
    • Argyros, I.K.1
  • 94
    • 38249012063 scopus 로고
    • On the midpoint method for solving nonlinear operator equations in Banach spaces
    • Argyros, I.K., and Chen, D., On the midpoint method for solving nonlinear operator equations in Banach spaces, Appl. Math. Lett, 5, 4 (1992), 7-9.
    • (1992) Appl. Math. Lett , vol.5 , Issue.4 , pp. 7-9
    • Argyros, I.K.1    Chen, D.2
  • 95
    • 43949168762 scopus 로고
    • A fourth order iterative method in Banach spaces
    • Argyros, I.K., and Chen, D., A fourth order iterative method in Banach spaces, Appl. Math. Lett., 6,4 (1993), 97-98.
    • (1993) Appl. Math. Lett , vol.6 , Issue.4 , pp. 97-98
    • Argyros, I.K.1    Chen, D.2
  • 96
    • 0000298351 scopus 로고
    • A note on the Halley method in Banach spaces
    • Argyros, I.K., and Chen, D., A note on the Halley method in Banach spaces, Appl. Math. Comp., 58,(1993), 215-224.
    • (1993) Appl. Math. Comp , vol.58 , pp. 215-224
    • Argyros, I.K.1    Chen, D.2
  • 97
    • 4444238216 scopus 로고    scopus 로고
    • On the Newton-Kantorovich hypothesis for solving nonlinear equations
    • Argyros, I.K., On the Newton-Kantorovich hypothesis for solving nonlinear equations, J. Comput. Appl. Math., (2004).
    • (2004) J. Comput. Appl. Math
    • Argyros, I.K.1
  • 100
    • 0040895248 scopus 로고
    • On the convergence of modified contractions
    • Argyros, I.K. and Szidarovszky, F., On the convergence of modified contractions, J. Cmput. Appl. Math., 55,2 (1994), 97-108.
    • (1994) J. Cmput. Appl. Math , vol.55 , Issue.2 , pp. 97-108
    • Argyros, I.K.1    Szidarovszky, F.2
  • 101
    • 0011961102 scopus 로고
    • On the method of Chaplying
    • Baluev, A.On the method of Chaplying, Dokl. Akad. Nauk. SSSR, 83,(1956), 781-784.
    • (1956) Dokl. Akad. Nauk. SSSR , vol.83 , pp. 781-784
    • Baluev, A.1
  • 102
    • 84968516045 scopus 로고
    • Newton’s method in Banach spaces
    • Bartle, R.G., Newton’s method in Banach spaces, Proc. Amer. Math. Soc, (1955), 827-831.
    • (1955) Proc. Amer. Math. Soc , pp. 827-831
    • Bartle, R.G.1
  • 103
    • 0000617516 scopus 로고
    • A Newton-Raphson method for the solution of systems of operators
    • Ben-Israel, A., A Newton-Raphson method for the solution of systems of operators, J. Math. Anal. Appl., 15,(1966), 243-252.
    • (1966) J. Math. Anal. Appl , vol.15 , pp. 243-252
    • Ben-Israel, A.1
  • 106
    • 49549141545 scopus 로고
    • Some results on global asymptotic stability of difference equations
    • Brock, W.A., and Scheinkman, J.A., some results on global asymptotic stability of difference equations, J. Econ. Theory., 10,(1975), 265-268.
    • (1975) J. Econ. Theory , vol.10 , pp. 265-268
    • Brock, W.A.1    Scheinkman, J.A.2
  • 107
    • 57149136888 scopus 로고    scopus 로고
    • The solution by iteration cf linear functional equations in Banach spaces
    • Browder, F.E., and Petryshyn, W.V., The solution by iteration cf linear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1996), 566-570.
    • (1996) Bull. Amer. Math. Soc , vol.72 , pp. 566-570
    • Browder, F.E.1    Petryshyn, W.V.2
  • 108
    • 0023329240 scopus 로고
    • A local convergence theory for combined inexact-Newton/finite-difference projection methods
    • Brown, P. N, A local convergence theory for combined inexact-Newton/finite-difference projection methods, SIAM J. Numer. Anal. 24,(1987), 407-434.
    • (1987) SIAM J. Numer. Anal , vol.24 , pp. 407-434
    • Brown, P.N.1
  • 111
    • 0035534791 scopus 로고    scopus 로고
    • Inexact perturbed Newton methods and applications to a class of Krylov solvers, J
    • Catinas E., Inexact perturbed Newton methods and applications to a class of Krylov solvers, J. Optim. Theory Appl, 108,3,(2001), 543-570.
    • (2001) Optim. Theory Appl , vol.108 , Issue.3 , pp. 543-570
    • Catinas, E.1
  • 112
  • 114
    • 21244493013 scopus 로고
    • On the convergence and optimal error estimates of King’s iteration for solving nonlinear equations
    • Chen, D., On the convergence and optimal error estimates of King’s iteration for solving nonlinear equations, Intern. J. Computer. Math., 26, (3 & 4) (1989), 229-237.
    • (1989) Intern. J. Computer. Math , vol.26 , Issue.3 , pp. 229-237
    • Chen, D.1
  • 115
    • 84892082268 scopus 로고
    • Kantorovich-Ostrowski convergence theorems and optimal error bounds for Jarratt’s iterative method
    • Chen, D., Kantorovich-Ostrowski convergence theorems and optimal error bounds for Jarratt’s iterative method, Intern. J. Computer. Math. 31, (3 & 4), (1990), 221-235.
    • (1990) Intern. J. Computer. Math , vol.31 , Issue.3 , pp. 221-235
    • Chen, D.1
  • 116
    • 0024302091 scopus 로고
    • Convergence domains of certain iterative methods for solving nonlinear equations
    • Chen, X. and Yamamoto, T., Convergence domains of certain iterative methods for solving nonlinear equations, Numer. Funct. Anal, and Optimiz., 10 (1 & 2) (1989), 37-48.
    • (1989) Numer. Funct. Anal, and Optimiz , vol.10 , Issue.1 , pp. 37-48
    • Chen, X.1    Yamamoto, T.2
  • 117
    • 21344485372 scopus 로고
    • Convergence of Newton-like methods for singular operator equations using outer inverses
    • Chen, X. and Nashed, M.Z., Convergence of Newton-like methods for singular operator equations using outer inverses, Numer. Math., 66 (1993), 235-257.
    • (1993) Numer. Math , vol.66 , pp. 235-257
    • Chen, X.1    Nashed, M.Z.2
  • 118
    • 0031531517 scopus 로고    scopus 로고
    • Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses
    • Chen, X., Nashed, Z and Qi, L., Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses, SIAM J. Optim. 7 (1997), no. 2, 445-462.
    • (1997) SIAM J. Optim , vol.7 , Issue.2 , pp. 445-462
    • Chen, X.1    Nashed, Z.2    Qi, L.3
  • 119
    • 0002154873 scopus 로고    scopus 로고
    • Wavelets on a bounded interval
    • eds: D. Braess and Larry L. Schumaker, Intern. Ser. Num. Math., Vol. 105) Basel: Birkhauser Verlag
    • Chui, C.K. and Quak, F., Wavelets on a bounded interval. In: Numerical Methods of Approximation Theory, Vol. 9 (eds: D. Braess and Larry L. Schumaker, Intern. Ser. Num. Math., Vol. 105) Basel: Birkhauser Verlag, pp. 53-75.
    • Numerical Methods of Approximation Theory , vol.9 , pp. 53-75
    • Chui, C.K.1    Quak, F.2
  • 122
    • 34250257862 scopus 로고
    • Auxiliary problem principle and decomposition of optimization problems
    • Cohen, G., Auxiliary problem principle and decomposition of optimization problems, J. Optim. Theory Appl., 32 (1980), no. 3, 277-305.
    • (1980) J. Optim. Theory Appl , vol.32 , Issue.3 , pp. 277-305
    • Cohen, G.1
  • 123
    • 0024113095 scopus 로고
    • Auxiliary problem principle extended to variational inequalities
    • Cohen, G., Auxiliary problem principle extended to variational inequalities, J. Optim. Theory Appl., 59,(1988), no. 2, 325-333.
    • (1988) J. Optim. Theory Appl , vol.59 , Issue.2 , pp. 325-333
    • Cohen, G.1
  • 125
    • 84892104882 scopus 로고
    • Fixed point theorems, Nemyckii and Uryson operators, and continuity of nonlinear mappings
    • Danes, J., Fixed point theorems, Nemyckii and Uryson operators, and continuity of nonlinear mappings, Comment. Math. Univ. Carolinae, 11,(1970), 481-500.
    • (1970) Comment. Math. Univ. Carolinae , vol.11 , pp. 481-500
    • Danes, J.1
  • 126
    • 0002965087 scopus 로고
    • The error estimates of Halley’s method (submitted). Darbo, G., Punti uniti in trasformationa codominio non compatto
    • Danfu, H and Xinghua, W., The error estimates of Halley’s method (submitted). Darbo, G., Punti uniti in trasformationa codominio non compatto, Rend. Sem. Mat. Univ. Padova, 24, (1955), 84-92.
    • (1955) Rend. Sem. Mat. Univ. Padova , vol.24 , pp. 84-92
    • Danfu, H.1    Xinghua, W.2
  • 127
    • 84967416807 scopus 로고
    • (Conf. Board Math. Sci. (CBMS) Vol. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
    • Daubechies, I., Ten Lectures in Wavelets, Conf. Board Math. Sci. (CBMS) Vol. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992.
    • (1992) Ten Lectures in Wavelets
    • Daubechies, I.1
  • 129
    • 0001261109 scopus 로고
    • Convergence rates of Newton’s method at singular points
    • Decker, D. W., Keller, H. B., Kelley, C. T., Convergence rates of Newton’s method at singular points, SIAM J. Numer. Anal, 20, (1983), no. 2, 296-314.
    • (1983) SIAM J. Numer. Anal , vol.20 , Issue.2 , pp. 296-314
    • Decker, D.W.1    Keller, H.B.2    Kelley, C.T.3
  • 131
    • 0003207251 scopus 로고
    • Toward a unified convergence theory for Newton-like methods
    • L.B. Rail, Ed.) Academic Press, New York
    • Dennis, J. E., Toward a unified convergence theory for Newton-like methods, In: Nonlinear Functional Anal, and Appl. (L.B. Rail, Ed.) Academic Press, New York, 1971.
    • (1971) Nonlinear Functional Anal, and Appl
    • Dennis, J.E.1
  • 133
    • 54649083302 scopus 로고    scopus 로고
    • New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations
    • De Pascale, E. and Zabrejko, P.P., New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations, Rend. Sem. Mat. Univ. Padova, 100, (1998), 211-230.
    • (1998) Rend. Sem. Mat. Univ. Padova , vol.100 , pp. 211-230
    • De Pascale, E.1    Zabrejko, P.P.2
  • 134
    • 0007446548 scopus 로고
    • A stepsize control for continuation methods and its special application to multiple shooting techniques
    • Deuflhard, P., A stepsize control for continuation methods and its special application to multiple shooting techniques, Nurner. Math., 33, (1979), no. 2, 115-146.
    • (1979) Nurner. Math , vol.33 , Issue.2 , pp. 115-146
    • Deuflhard, P.1
  • 135
    • 0001820687 scopus 로고
    • Affine invariant convergence theorems for Newton’s method, and extensions to related methods
    • Deuflhard, P., Heindl, G., Affine invariant convergence theorems for Newton’s method, and extensions to related methods, SIAM J. Numer. Anal., 16, (1979), no. 1, 1-10.
    • (1979) SIAM J. Numer. Anal , vol.16 , Issue.1 , pp. 1-10
    • Deuflhard, P.1    Heindl, G.2
  • 136
    • 0026940480 scopus 로고
    • Asymptotic mesh independence of Newton-Galerkin methods and a refined Mysovskii theorem
    • Deuflhard, P., Potra, F. A., Asymptotic mesh independence of Newton-Galerkin methods and a refined Mysovskii theorem. SIAM J. Numer. Anal., 29, (1992), no. 5, 1395-1412.
    • (1992) SIAM J. Numer. Anal , vol.29 , Issue.5 , pp. 1395-1412
    • Deuflhard, P.1    Potra, F.A.2
  • 137
    • 84967510351 scopus 로고
    • On the theory of linear integro-differential equations of Barbashin type in lebesgue spaces
    • Minsk
    • Diallo, O.W., On the theory of linear integro-differential equations of Barbashin type in lebesgue spaces, (Russian), VINITI, 1013, 88, Minsk, (1988).
    • (1988) (Russian), VINITI , vol.1013 , pp. 88
    • Diallo, O.W.1
  • 138
    • 84891996154 scopus 로고
    • Iterative losung gewisser randwertprobleme und integralgleichungen
    • Doring, B., Iterative losung gewisser randwertprobleme und integralgleichungen, Apl. Mat., 24,(1976), 1-31.
    • (1976) Apl. Mat , vol.24 , pp. 1-31
    • Doring, B.1
  • 140
    • 84963019042 scopus 로고
    • On fixed and periodic points under contractive mappings
    • Edelstein, M., On fixed and periodic points under contractive mappings., J. London Math. Soc, 37, (1962), 74-79.
    • (1962) J. London Math. Soc , vol.37 , pp. 74-79
    • Edelstein, M.1
  • 141
    • 0001330894 scopus 로고
    • Globally convergent of inexact Newton methods
    • Eisenstat, S. C., Walker, H. F., Globally convergent of inexact Newton methods, SIAM J. Optim., 4, (1994), no. 2, 393-422.
    • (1994) SIAM J. Optim , vol.4 , Issue.2 , pp. 393-422
    • Eisenstat, S.C.1    Walker, H.F.2
  • 142
    • 0003176174 scopus 로고    scopus 로고
    • Choosing the forcing terms in an inexact Newton method
    • Eisenstat, S. C., Walker, H. F., Choosing the forcing terms in an inexact Newton method, SIAM J. Sci. Comput., 17,(1996), no. 1, 16-32.
    • (1996) SIAM J. Sci. Comput , vol.17 , Issue.1 , pp. 16-32
    • Eisenstat, S.C.1    Walker, H.F.2
  • 143
    • 0040964586 scopus 로고    scopus 로고
    • Avoiding the computation of the second Frechet-derivative in the convex acceleration of Newton’s method
    • Ezquerro, J. A., Hernandez, M. A., Avoiding the computation of the second Frechet-derivative in the convex acceleration of Newton’s method., J. Comput. Appl. Math., 96, (1998), 1-12.
    • (1998) J. Comput. Appl. Math , vol.96 , pp. 1-12
    • Ezquerro, J.A.1    Hernandez, M.A.2
  • 145
    • 0033632741 scopus 로고    scopus 로고
    • On a convex acceleration of Newton’s method
    • Ezquerro, J. A., Hernbndez, M. A., On a convex acceleration of Newton’s method, J. Optim. Theory Appl., 100,(1999), no. 2, 311-326.
    • (1999) J. Optim. Theory Appl , vol.100 , Issue.2 , pp. 311-326
    • Ezquerro, J.A.1    Hernbndez, M.A.2
  • 146
    • 52549130240 scopus 로고    scopus 로고
    • On the application of a fourth order two-point method to Chandrasekhar’s integral equation
    • Ezquerro, J. A., Hernbndez, M. A., On the application of a fourth order two-point method to Chandrasekhar’s integral equation, Aequationes Math., 62, (2001), no. 1-2, 39-47.
    • (2001) Aequationes Math , vol.62 , Issue.1-2 , pp. 39-47
    • Ezquerro, J.A.1    Hernbndez, M.A.2
  • 147
    • 0034159551 scopus 로고    scopus 로고
    • A discretization scheme for some conservative problems, Proceedings of the 8th International Congress on Computational and Applied Mathematics, ICCAM-98 (Leuven)
    • Ezquerro, J. A., Hernbndez, M. A., Salanova, M. A., A discretization scheme for some conservative problems, Proceedings of the 8th International Congress on Computational and Applied Mathematics, ICCAM-98 (Leuven), J. Comput. Appl. Math., 115,(2000), no. 1-2,181-192.
    • (2000) J. Comput. Appl. Math , vol.115 , Issue.1-2 , pp. 181-192
    • Ezquerro, J.A.1    Hernbndez, M.A.2    Salanova, M.A.3
  • 148
    • 84862938064 scopus 로고    scopus 로고
    • Recurrence relations for the midpoint method
    • Ezquerro, J. A., Hernbndez, M. A., Salanova, M. A., Recurrence relations for the midpoint method, Tamkang J. Math., 31, (2000), no. 1, 33-41.
    • (2000) Tamkang J. Math , vol.31 , Issue.1 , pp. 33-41
    • Ezquerro, J.A.1    Hernbndez, M.A.2    Salanova, M.A.3
  • 151
    • 0036225214 scopus 로고    scopus 로고
    • Kantorovich’s theorem on Newton’s method in Riemannian manifolds
    • Ferreira, O. P. and Svaiter, B.F., Kantorovich’s theorem on Newton’s method in Riemannian manifolds, J. Complexity, 18,(2002), no. 1,304-329.
    • (2002) J. Complexity , vol.18 , Issue.1 , pp. 304-329
    • Ferreira, O.P.1    Svaiter, B.F.2
  • 152
    • 58149319243 scopus 로고
    • Inexact Newton methods on a vector supercomputer
    • Foerster, H., Frommer, A. and Mayer, G., Inexact Newton methods on a vector supercomputer, J. Comp. Appl. Math, 58,(1995), 237-253.
    • (1995) J. Comp. Appl. Math , vol.58 , pp. 237-253
    • Foerster, H.1    Frommer, A.2    Mayer, G.3
  • 153
    • 46149140441 scopus 로고
    • Global asymptotic stability of nonlinear difference equations I
    • Fujimoto, T., Global asymptotic stability of nonlinear difference equations I, Econ. Letters, 22,(1987), 247-250.
    • (1987) Econ. Letters , vol.22 , pp. 247-250
    • Fujimoto, T.1
  • 154
    • 45949125474 scopus 로고
    • Global asymptotic stability of nonlinear difference equations II
    • Fujimoto, T., Global asymptotic stability of nonlinear difference equations II, Econ. Letters, 23,(1987), 275-277.
    • (1987) Econ. Letters , vol.23 , pp. 275-277
    • Fujimoto, T.1
  • 155
    • 0040389742 scopus 로고
    • Newton method under a weak smoothness assumption
    • Galperin, A. and Waksman, Z., Newton method under a weak smoothness assumption, J. Comp. Appl. Math., 35,(1991), 207-215.
    • (1991) J. Comp. Appl. Math , vol.35 , pp. 207-215
    • Galperin, A.1    Waksman, Z.2
  • 156
    • 84972860659 scopus 로고
    • Regular smoothness and Newton’s method
    • Galperin, A. and Waksman, Z., Regular smoothness and Newton’s method, Nu-mer Funct. Anal. Optimiz., 15, (7 & 8), (1994), 813-858.
    • (1994) Nu-mer Funct. Anal. Optimiz , vol.15 , Issue.7 , pp. 813-858
    • Galperin, A.1    Waksman, Z.2
  • 157
    • 0000132229 scopus 로고
    • On Halley’s iteration method
    • Gander, W., On Halley’s iteration method, amer. Math. Monthly, 92,(1985), 131-134.
    • (1985) Amer. Math. Monthly , vol.92 , pp. 131-134
    • Gander, W.1
  • 159
    • 0016035394 scopus 로고
    • Optimal error bounds for the Newton-Kantorovich theorem
    • Gragg, W. B.; Tapia, R. A., Optimal error bounds for the Newton-Kantorovich theorem, SIAM J. Numer. Anal. 11,(1974), 10-13.
    • (1974) SIAM J. Numer. Anal , vol.11 , pp. 10-13
    • Gragg, W.B.1    Tapia, R.A.2
  • 160
    • 84968520463 scopus 로고
    • Riemann integration and Taylor’s theorem in general analysis
    • Graves, L. M., Riemann integration and Taylor’s theorem in general analysis, Trans. Amer. Math. Soc. 29,(1927), no. 1, 163-177.
    • (1927) Trans. Amer. Math. Soc , vol.29 , Issue.1 , pp. 163-177
    • Graves, L.M.1
  • 161
    • 0031550718 scopus 로고    scopus 로고
    • A new semilocal convergence theorem for Newton’s method
    • Gutierez, J.M., A new semilocal convergence theorem for Newton’s method, J. Comput. Appl. Math. 79 (1997), 131-145.
    • (1997) J. Comput. Appl. Math , vol.79 , pp. 131-145
    • Gutierez, J.M.1
  • 164
    • 0040814153 scopus 로고
    • An efficient step size control for continuation methods
    • Hackl, J., Wacker, Hj., Zulehner, W, An efficient step size control for continuation methods, BIT, 20 (1980), no. 4, 475-485.
    • (1980) BIT , vol.20 , Issue.4 , pp. 475-485
    • Hackl, J.1    Wacker, H.J.2    Zulehner, W.3
  • 165
    • 0003769140 scopus 로고
    • John Wiley & Sons, Inc., New York-London-Sydney
    • Hartman, P., Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. xiv+612 pp.
    • (1964) Ordinary differential equations
    • Hartman, P.1
  • 166
    • 0007167706 scopus 로고
    • A Kantorovich-type convergence analysis for the Gauss-Newton method
    • Haubler, W.M. A Kantorovich-type convergence analysis for the Gauss-Newton method, Numer. Math. 48 (1986), 119-125.
    • (1986) Numer. Math , vol.48 , pp. 119-125
    • Haubler, W.M.1
  • 168
    • 0001440927 scopus 로고
    • A note on Halley’s method
    • Hernandez, M. A., A note on Halley’s method, Num. Math. 59, 3 (1991), 273-276.
    • (1991) Num. Math , vol.59 , Issue.3 , pp. 273-276
    • Hernandez, M.A.1
  • 169
    • 0000535837 scopus 로고
    • Newton’s Raphson’s method and convexity
    • Hernandez, M. A., Newton’s Raphson’s method and convexity, Zb. Rad. Prirod.-Mat. Fax. Ser. Mat. 22, 1, (1992), 159-166.
    • (1992) Zb. Rad. Prirod.-Mat. Fax. Ser. Mat , vol.22 , Issue.1 , pp. 159-166
    • Hernandez, M.A.1
  • 170
  • 171
    • 0034664280 scopus 로고    scopus 로고
    • Relaxing convergence conditions for Newton’s method
    • Hernandez M. A., Relaxing convergence conditions for Newton’s method, J. Math. Anal. Appl, 249,(2000), no. 2, 463-475.
    • (2000) J. Math. Anal. Appl , vol.249 , Issue.2 , pp. 463-475
    • Hernandez, M.A.1
  • 172
    • 0035251697 scopus 로고    scopus 로고
    • Chebyshev’s approximation algorithms and applications
    • Hernandez, M. A., Chebyshev’s approximation algorithms and applications, Comput. Math. Appl., 41 (2001), no. 3-4, 433-445.
    • (2001) Comput. Math. Appl , vol.41 , Issue.3-4 , pp. 433-445
    • Hernandez, M.A.1
  • 173
    • 0034159382 scopus 로고    scopus 로고
    • Secant-like methods for solving nonlinear integral equations of the Hammerstein type
    • Hernandez M. A., Rubio, M. J. and Ezquerro, J. A., Secant-like methods for solving nonlinear integral equations of the Hammerstein type, J. Comput. Appl. Math., 115,(2000), 245-254.
    • (2000) J. Comput. Appl. Math , vol.115 , pp. 245-254
    • Hernandez, M.A.1    Rubio, M.J.2    Ezquerro, J.A.3
  • 174
    • 0036681220 scopus 로고    scopus 로고
    • Semilocal convergence of the secant method un-der mild convergence conditions of differentiability
    • Hernandez, M. A., Rubio, M. J., Semilocal convergence of the secant method un-der mild convergence conditions of differentiability, Comput. Math. Appl., 44, (2002), no. 3-4, 277-285.
    • (2002) Comput. Math. Appl , vol.44 , Issue.3-4 , pp. 277-285
    • Hernandez, M.A.1    Rubio, M.J.2
  • 175
    • 79960052892 scopus 로고    scopus 로고
    • Sufficient conditions for semilocal convergence of a fourth order multipoint iterative method for solving equations in Banach spaces
    • Hernandez, M. A. and Salanova, M. A., Sufficient conditions for semilocal convergence of a fourth order multipoint iterative method for solving equations in Banach spaces, Southwest J. Pure Appl. Math., (1999), 29-40.
    • (1999) Southwest J. Pure Appl. Math , pp. 29-40
    • Hernandez, M.A.1    Salanova, M.A.2
  • 176
    • 0003862451 scopus 로고
    • Functional Analysis and Smigroups
    • Publ., New York
    • Hille, E. and Philips, R.S., Functional Analysis and Smigroups, Amer. Math. Soc. Coll. Publ., New York, 1957.
    • (1957) Amer. Math. Soc. Coll
    • Hille, E.1    Philips, R.S.2
  • 177
    • 38249006181 scopus 로고
    • A note on the Kantorovich theorem for Newton iteration
    • Huang, Z. D., A note on the Kantorovich theorem for Newton iteration, J. Comput. Appl. Math., 47, (1993), no. 2, 211-217.
    • (1993) J. Comput. Appl. Math , vol.47 , Issue.2 , pp. 211-217
    • Huang, Z.D.1
  • 178
    • 0040822169 scopus 로고
    • Some efficient fourth order multipoint methods for solving equations
    • Jarrat, P., Some efficient fourth order multipoint methods for solving equations, BIT, 9,(1969), 119-124.
    • (1969) BIT , vol.9 , pp. 119-124
    • Jarrat, P.1
  • 179
    • 0004219579 scopus 로고
    • Technical Report № 1965, mathematics Research Center, University of Wisconsin, Madison Wisconsin
    • Josephy, N.H., Newton’s method for generalized equations, Technical Report № 1965, mathematics Research Center, University of Wisconsin, Madison Wisconsin, 1979.
    • (1979) Newton’s method for generalized equations
    • Josephy, N.H.1
  • 180
    • 0040983960 scopus 로고
    • Convergence theorems for the method of tangent hyperbolas
    • Kanno, S., Convergence theorems for the method of tangent hyperbolas, Math. Japon., 37,(1992), no. 4,711-722.
    • (1992) Math. Japon , vol.37 , Issue.4 , pp. 711-722
    • Kanno, S.1
  • 181
    • 51249194918 scopus 로고
    • The method of succesive approximation for functional equations
    • Kantorovich, L.V., The method of succesive approximation for functional equations, Acta Math., 71,(1939), 63-97.
    • (1939) Acta Math , vol.71 , pp. 63-97
    • Kantorovich, L.V.1
  • 183
    • 84935528185 scopus 로고
    • Positive solutions of operator equations
    • Moscow, Transl. by R. Flaherty and L. Boron, P. Noordhoff, Groningen 1964
    • Krasnosel’skii, M. A., Positive solutions of operator equations, Goz. Isdat. Fiz. Mat. Moscow 1962; Transl. by R. Flaherty and L. Boron, P. Noordhoff, Groningen 1964.
    • (1962) Goz. Isdat. Fiz. Mat
    • Krasnosel’skii, M.A.1
  • 189
    • 0000162636 scopus 로고
    • Sur les espaces complets
    • Kuratowski, C, Sur les espaces complets, Fund. Math., 15,(1930), 301-309.
    • (1930) Fund. Math , vol.15 , pp. 301-309
    • Kuratowski, C.1
  • 190
    • 34250496615 scopus 로고
    • Remarks on linear equations in Banach space
    • Kwon, U. K. and Redheffer, R. M., Remarks on linear equations in Banach space, Arch. Rational Mech. Anal., 32,(1969), 247-254.
    • (1969) Arch. Rational Mech. Anal , vol.32 , pp. 247-254
    • Kwon, U.K.1    Redheffer, R.M.2
  • 191
    • 0002995940 scopus 로고
    • Error analysis for the Newton-Raphson method
    • Lancaster, P., Error analysis for the Newton-Raphson method, Numer. Math., 9, (1968), 55-68.
    • (1968) Numer. Math , vol.9 , pp. 55-68
    • Lancaster, P.1
  • 193
    • 84967504549 scopus 로고
    • A projection iteration method of constructing two-sided approximations of solutions of operator equations
    • Maiboroba, I.N., a projection iteration method of constructing two-sided approximations of solutions of operator equations, Ukrainski Mathematicheskii Zhurnal, Vol. 8,№6, (1976), 735-744.
    • (1976) Ukrainski Mathematicheskii Zhurnal , vol.8 , Issue.6 , pp. 735-744
    • Maiboroba, I.N.1
  • 194
    • 33745766633 scopus 로고
    • On the convergence of projection methods
    • Marcotte, P., Wu, J. H., On the convergence of projection methods, J. Optim. Theory Appl., 85, (1995), no. 2, 347-362.
    • (1995) J. Optim. Theory Appl , vol.85 , Issue.2 , pp. 347-362
    • Marcotte, P.1    Wu, J.H.2
  • 195
    • 0036578952 scopus 로고    scopus 로고
    • A generalized theorem of Miranda and the theorem of Newton-Kantorovich
    • Mayer, J., A generalized theorem of Miranda and the theorem of Newton-Kantorovich, Numer. Funct. Anal. Optim., 23,(2002), no. 3-4, 333-357.
    • (2002) Numer. Funct. Anal. Optim , vol.23 , Issue.3-4 , pp. 333-357
    • Mayer, J.1
  • 197
    • 0040505149 scopus 로고
    • An analog of the process of tangent hyperbolas for general functional equations
    • Russian
    • Mertvecova, M.A., An analog of the process of tangent hyperbolas for general functional equations, Dokl. Akad. Nauk., SSSR, 88, (1953), 611-614 (in Russian).
    • (1953) Dokl. Akad. Nauk., SSSR , vol.88 , pp. 611-614
    • Mertvecova, M.A.1
  • 198
    • 0040983959 scopus 로고
    • Das modifizierte Newton-Verfahren in verallgemeinerten Banach-Raumen
    • Meyer, P. W., Das modifizierte Newton-Verfahren in verallgemeinerten Banach-Raumen, Numer. Math., 43,(1984), no. 1,91-104.
    • (1984) Numer. Math , vol.43 , Issue.1 , pp. 91-104
    • Meyer, P.W.1
  • 199
    • 0023315698 scopus 로고
    • Newton’s method in generalized Banach spaces
    • Meyer, P. W., Newton’s method in generalized Banach spaces. Numer. Funct. Anal. Optim., 9, (1987), (3 & 4), 244-259.
    • (1987) Numer. Funct. Anal. Optim , vol.9 , Issue.3 , pp. 244-259
    • Meyer, P.W.1
  • 200
    • 0007318675 scopus 로고
    • A unifying theorem on Newton’s method
    • 1992
    • Meyer, P. W., A unifying theorem on Newton’s method, Numer. Funct. Anal. Optim., 13,(1992), no. 5-6,(1992), 463-473.
    • (1992) Numer. Funct. Anal. Optim , vol.13 , Issue.5-6 , pp. 463-473
    • Meyer, P.W.1
  • 201
    • 84966239458 scopus 로고
    • Majorizing sequences and error bounds for iterative methods
    • Miel, G. J., Majorizing sequences and error bounds for iterative methods, Math. Comp., 34,(1980), no. 149, 185-202.
    • (1980) Math. Comp , vol.34 , Issue.149 , pp. 185-202
    • Miel, G.J.1
  • 202
    • 84892018395 scopus 로고
    • On the convergence of projection-iterative methods for solving nonlinear operator equations
    • Ser. A
    • Migovich, F.M., On the convergence of projection-iterative methods for solving nonlinear operator equations, Dopov. Akad. Nauk. Ukr. RSR, Ser. A, 1, (1970), 20-23.
    • (1970) Dopov. Akad. Nauk. Ukr. RSR , vol.1 , pp. 20-23
    • Migovich, F.M.1
  • 205
    • 34250531566 scopus 로고
    • Approximations to nonlinear operator equations and Newton’s method
    • Moore, R. H., Approximations to nonlinear operator equations and Newton’s method, Numer. Math., 12,(1968), 23-34.
    • (1968) Numer. Math , vol.12 , pp. 23-34
    • Moore, R.H.1
  • 206
    • 0000805856 scopus 로고
    • A test for existence of solutions to nonlinear systems
    • Moore, R. E., A test for existence of solutions to nonlinear systems, SIAM J. Numer. Anal., 14,(1977), no. 4, 611-615.
    • (1977) SIAM J. Numer. Anal , vol.14 , Issue.4 , pp. 611-615
    • Moore, R.E.1
  • 208
    • 0021313369 scopus 로고
    • A note on Newton-type iterative methods
    • Moret, I., A note on Newton-type iterative methods, Computing 33, (1984), 65-73.
    • (1984) Computing , vol.33 , pp. 65-73
    • Moret, I.1
  • 209
    • 0022875691 scopus 로고
    • On the behaviour of approximate Newton methods
    • Moret, I., On the behaviour of approximate Newton methods, Computing, 37, (1986), no. 3, 185-193.
    • (1986) Computing , vol.37 , Issue.3 , pp. 185-193
    • Moret, I.1
  • 210
    • 0023453703 scopus 로고
    • On a general iterative scheme for Newton-type methods
    • Moret, I., On a general iterative scheme for Newton-type methods, Numer. Funct. Anal. Optim., 9,(1987-88), (10-12), 1115-1137.
    • (1987) Numer. Funct. Anal. Optim , vol.9 , Issue.10-12 , pp. 1115-1137
    • Moret, I.1
  • 211
    • 0024621694 scopus 로고
    • A Kantorovich-type theorem for inexact Newton methods
    • Moret, I., A Kantorovich-type theorem for inexact Newton methods, Numer. Funct. Anal. Optim. 10 (1989), (3 & 4), 351-365.
    • (1989) Numer. Funct. Anal. Optim , vol.10 , Issue.3 , pp. 351-365
    • Moret, I.1
  • 212
    • 84892120935 scopus 로고
    • Practical monotonous iterations for nonlinear equations
    • Ser. A
    • Muroya, Y., Practical monotonous iterations for nonlinear equations, Mem. Fac. Sci. Kyushu Univ., Ser. A, 22,(1968), 56-73.
    • (1968) Mem. Fac. Sci. Kyushu Univ , vol.22 , pp. 56-73
    • Muroya, Y.1
  • 214
    • 0039851463 scopus 로고
    • On the convergence of Newton’s method
    • Russian
    • Mysovskii, I., On the convergence of Newton’s method, Trudy Mat. Inst. Steklov, 28,(1949), 145-147 (in Russian).
    • (1949) Trudy Mat. Inst. Steklov , vol.28 , pp. 145-147
    • Mysovskii, I.1
  • 216
    • 0039319893 scopus 로고
    • On Chebysheffs method for functional equations (Russian)
    • Necepurenko, M.T., On Chebysheffs method for functional equations (Russian), Usephi, Mat. Nauk, 9, (1954), 163-170.
    • (1954) Usephi, Mat. Nauk , vol.9 , pp. 163-170
    • Necepurenko, M.T.1
  • 218
    • 0025450576 scopus 로고
    • The Krawczyk operator and Kantorovich’s theorem
    • Neumaier, A. and Shen, Z., The Krawczyk operator and Kantorovich’s theorem, J. Math. Anal. Appl., 149, (1990), no. 2, 437-443.
    • (1990) J. Math. Anal. Appl , vol.149 , Issue.2 , pp. 437-443
    • Neumaier, A.1    Shen, Z.2
  • 219
    • 0023344904 scopus 로고
    • The majorant method in the theory of the Newton-Kantorovich approximations and the Ptak error estimates
    • Nguen, D.F. and Zabrejko, P.P., The majorant method in the theory of the Newton-Kantorovich approximations and the Ptak error estimates, Numer. Funct. Anal, and Optimiz., 9, (5 k 6), (1987), 671-686.
    • (1987) Numer. Funct. Anal, and Optimiz , vol.9 , Issue.5 , pp. 671-686
    • Nguen, D.F.1    Zabrejko, P.P.2
  • 221
    • 84908713634 scopus 로고
    • Iterative methods for a class of variational inequalities
    • Hemker and Miller, eds., Academic Press, New-York
    • Noor, K. I. and Noor, M. A., Iterative methods for a class of variational inequalities, in Numerical Analysis of singular perturbation problems, Hemker and Miller, eds., Academic Press, New-York, (1985), 441-448.
    • (1985) Numerical Analysis of singular perturbation problems , pp. 441-448
    • Noor, K.I.1    Noor, M.A.2
  • 222
    • 46549093628 scopus 로고
    • An iterative scheme for a class of quasivariational inequalities
    • Noor, M. A., An iterative scheme for a class of quasivariational inequalities, J. Math. Anal, and Appl., 110, (1985), no. 2, 463-468.
    • (1985) J. Math. Anal, and Appl , vol.110 , Issue.2 , pp. 463-468
    • Noor, M.A.1
  • 223
    • 0000670776 scopus 로고
    • Generalized variational inequalities
    • Noor, M.A., Generalized variational inequalities, Appl. Math. Letters, 1,(1988), 119-122.
    • (1988) Appl. Math. Letters , vol.1 , pp. 119-122
    • Noor, M.A.1
  • 224
    • 4243167179 scopus 로고
    • A criterion for a Uryson operator to be a contraction (Russian)
    • Ojnarov, R. and Otel’baev, M., A criterion for a Uryson operator to be a contraction (Russian), Dokl. Akad. Nauk. SSSR, 255, (1980), 1316-1318.
    • (1980) Dokl. Akad. Nauk. SSSR , vol.255 , pp. 1316-1318
    • Ojnarov, R.1    Otel’baev, M.2
  • 228
    • 0022107380 scopus 로고
    • A convergence test and componentwise error estimates for Newton-type methods
    • Pandian, M.C., A convergence test and componentwise error estimates for Newton-type methods, SIAM J. Numer. Anal, 22,(1985), 779-791.
    • (1985) SIAM J. Numer. Anal , vol.22 , pp. 779-791
    • Pandian, M.C.1
  • 229
    • 78650612165 scopus 로고
    • Sur la methode de Steffensen pour la resolution des Bquations operationnelles non lineaires
    • Pavaloiu, I., Sur la methode de Steffensen pour la resolution des Bquations operationnelles non lineaires, Rev. Roumaine Math. Pures Appl., 13, (1968), 6, 857-861.
    • (1968) Rev. Roumaine Math. Pures Appl , vol.13 , Issue.6 , pp. 857-861
    • Pavaloiu, I.1
  • 231
    • 27944484558 scopus 로고
    • Sur une generalisation de la methode de Steffensen
    • Pavaloiu, I., Sur une generalisation de la methode de Steffensen, Rev. Anal. Numer. Theor. Approx., 21, (1992), no. 1,59-65.
    • (1992) Rev. Anal. Numer. Theor. Approx , vol.21 , Issue.1 , pp. 59-65
    • Pavaloiu, I.1
  • 232
    • 84857379091 scopus 로고
    • A converging theorem concerning the chord method
    • Pavaloiu, I., A converging theorem concerning the chord method, Rev. Anal. Numer. Theor. Approx., 22, 1 (1993), 83-85.
    • (1993) Rev. Anal. Numer. Theor. Approx , vol.22 , Issue.1 , pp. 83-85
    • Pavaloiu, I.1
  • 233
    • 48049104439 scopus 로고
    • Bilateral approximations for the solutions of scalar equations
    • Pavaloiu, I., Bilateral approximations for the solutions of scalar equations., Rev. Anal. Numer. Theor. Approx., 23, (1994), no. 1, 95-100.
    • (1994) Rev. Anal. Numer. Theor. Approx , vol.23 , Issue.1 , pp. 95-100
    • Pavaloiu, I.1
  • 234
    • 12344278922 scopus 로고
    • An error analogsis for the method
    • Potra, F.A., An error analogsis for the method, Numer. Math. 32, (1982), 427-445.
    • (1982) Numer. Math , vol.32 , pp. 427-445
    • Potra, F.A.1
  • 235
    • 0021585816 scopus 로고
    • On an iterative algorithm of order 1.839. for solving nonlinear operator equations
    • Potra, F. A. On an iterative algorithm of order 1.839. for solving nonlinear operator equations, Numer. Funct. Anal. Optim., 7, (1984-1985), no. 1, 75-106.
    • (1984) Numer. Funct. Anal. Optim , vol.7 , Issue.1 , pp. 75-106
    • Potra, F.A.1
  • 236
    • 0023365932 scopus 로고
    • Newton-like methods with monotone convergence for solving nonlinear operator equations
    • Potra, F. A., Newton-like methods with monotone convergence for solving nonlinear operator equations, Nonlinear Anal., Theory Methods and Applications, 11,(1987), no. 6,697-717.
    • (1987) Nonlinear Anal., Theory Methods and Applications , vol.11 , Issue.6 , pp. 697-717
    • Potra, F.A.1
  • 237
    • 0000367866 scopus 로고
    • On Q-order and R-order of convergence
    • Potra, F. A., On Q-order and R-order of convergence, SIAM J. Optim. Theory Appl, 63,(1989), no. 3, 415-431.
    • (1989) SIAM J. Optim. Theory Appl , vol.63 , Issue.3 , pp. 415-431
    • Potra, F.A.1
  • 238
    • 0002727081 scopus 로고
    • Sharp error bounds for Newton’s method
    • Potra, Florian-A. and Ptak, V., Sharp error bounds for Newton’s method, Numer. Math., 34, (1980), no. 1, 63-72.
    • (1980) Numer. Math , vol.34 , Issue.1 , pp. 63-72
    • Potra, F.-A.1    Ptak, V.2
  • 240
    • 0006842410 scopus 로고
    • The rate of convergence of Newton’s process
    • Ptak, V., The rate of convergence of Newton’s process., Numer. Math., 25, (1976), no. 3, 279-285.
    • (1976) Numer. Math , vol.25 , Issue.3 , pp. 279-285
    • Ptak, V.1
  • 243
    • 5144222805 scopus 로고
    • Convergence of Stirling’s method in Banach spaces
    • Rall, L. B., Convergence of Stirling’s method in Banach spaces, Aequationes Math., 12,(1973), 12-20.
    • (1973) Aequationes Math , vol.12 , pp. 12-20
    • Rall, L.B.1
  • 244
    • 0009976168 scopus 로고
    • A comparison of the existence theorems of Kantorovich and Moore
    • Rall, L. B., A comparison of the existence theorems of Kantorovich and Moore, SIAM J. Numer. Anal, 17,(1980), no. 1, 148-161.
    • (1980) SIAM J. Numer. Anal , vol.17 , Issue.1 , pp. 148-161
    • Rall, L.B.1
  • 245
    • 0001281959 scopus 로고
    • On Newton’s method under mild differentiability conditions with error analysis
    • Reddien, G. W., On Newton’s method under mild differentiability conditions with error analysis, SIAM J. Numer. Anal, 15, (1978), no. 5, 993-996.
    • (1978) SIAM J. Numer. Anal , vol.15 , Issue.5 , pp. 993-996
    • Reddien, G.W.1
  • 246
    • 0041338065 scopus 로고
    • An adaptive continuation process for solving systems of nonlinear equations, Publish Academy of Sciences
    • Rheinboldt, W. C., An adaptive continuation process for solving systems of nonlinear equations, Publish Academy of Sciences, Banach Ctr. Publ., 3, (1977), pp.129-142.
    • (1977) Banach Ctr. Publ , vol.3 , pp. 129-142
    • Rheinboldt, W.C.1
  • 247
    • 0002214493 scopus 로고
    • A unified convergence theory for a class of iterative processes
    • Rheinboldt, W. C., A unified convergence theory for a class of iterative processes, SIAM J. Numer. Anal., 5, (1968), 42-63.
    • (1968) SIAM J. Numer. Anal , vol.5 , pp. 42-63
    • Rheinboldt, W.C.1
  • 248
    • 0002939936 scopus 로고
    • Generalized equations
    • (A. Bachem, M. Grotschel and B. Korte, eds.), Springer, Berlin
    • Robinson, S. M., Generalized equations. In: (A. Bachem, M. Grotschel and B. Korte, eds.) Mathematical programming: the state of the art, Springer, Berlin, 1982, pp. 346-367.
    • (1982) Mathematical programming: The state of the art , pp. 346-367
    • Robinson, S.M.1
  • 249
    • 0000685483 scopus 로고
    • Newton’s method under mild differentiability conditions with error analysis
    • Rockne, J., Newton’s method under mild differentiability conditions with error analysis, Numer. Math., 18,(1972), 401-412.
    • (1972) Numer. Math , vol.18 , pp. 401-412
    • Rockne, J.1
  • 250
    • 0040444381 scopus 로고
    • The method of tangent hyperbolas
    • Safiev, R. A., The method of tangent hyperbolas, sov. Math. Dokl., 4, (1963), 482-485.
    • (1963) Sov. Math. Dokl , vol.4 , pp. 482-485
    • Safiev, R.A.1
  • 251
    • 84932262786 scopus 로고
    • Monotone einschliessung mit Regula-Falsi bei konvexen functio nen
    • Schmidt, J. W., Monotone einschliessung mit Regula-Falsi bei konvexen functio nen, ZAMM, 50, (1970), 640-643.
    • (1970) ZAMM , vol.50 , pp. 640-643
    • Schmidt, J.W.1
  • 252
    • 10144223332 scopus 로고
    • Eingrenzung von losungen mit hilfe der Regula-Falsi
    • Schmidt, J. W. and Leonhardt, H., Eingrenzung von losungen mit hilfe der Regula-Falsi, Computing, 6, (1970), 318-329.
    • (1970) Computing , vol.6 , pp. 318-329
    • Schmidt, J.W.1    Leonhardt, H.2
  • 253
    • 0009611961 scopus 로고
    • On the method of Chords Sibirsk
    • Sergeev, A.A., On the method of Chords Sibirsk, Mat. Z., 2, (1961), 282-289.
    • (1961) Mat. Z , vol.2 , pp. 282-289
    • Sergeev, A.A.1
  • 254
    • 84892088150 scopus 로고
    • Approximate solution of operator equations on the basis of Caplygin method
    • Slugin, S. N., Approximate solution of operator equations on the basis of Caplygin method, (Russian), Dokl. Nauk SSSR, 103, (1955), 565-568.
    • (1955) (Russian), Dokl. Nauk SSSR , vol.103 , pp. 565-568
    • Slugin, S.N.1
  • 255
    • 84891973554 scopus 로고
    • Monotonic processes of bilateral approximation in a partially ordered convergence group
    • Slugin, S. N., Monotonic processes of bilateral approximation in a partially ordered convergence group, Soviet. Math., 3, (1962), 1547-1551.
    • (1962) Soviet. Math , vol.3 , pp. 1547-1551
    • Slugin, S.N.1
  • 258
    • 45549118901 scopus 로고
    • A note on global asymptotic stability nonlinear difference equations
    • Szidarovszky, F. and Okuguchi, A note on global asymptotic stability nonlinear difference equations, Econ. Letters, 26,(1988), 349-352.
    • (1988) Econ. Letters , vol.26 , pp. 349-352
    • Szidarovszky, F.O.1
  • 260
    • 84972541021 scopus 로고
    • A lattice theoretical fixed point and its applications
    • Tarskii, A.A., A lattice theoretical fixed point and its applications, Pacific J. Math., (1955), 285-309.
    • (1955) Pacific J. Math , pp. 285-309
    • Tarskii, A.A.1
  • 261
    • 0010717207 scopus 로고
    • A comparative study of several convergence conditions for algorithms modeled by point-to-set maps
    • Tishyadhigama, S., Polak, E., Klessig, R., A comparative study of several convergence conditions for algorithms modeled by point-to-set maps, Math. Programming Stud., 10,(1979), 172-190.
    • (1979) Math. Programming Stud , vol.10 , pp. 172-190
    • Tishyadhigama, S.1    Polak, E.2    Klessig, R.3
  • 262
    • 5844345490 scopus 로고
    • Monoton konvergente Iterationsverfahren zur Losung michtlinearer differenzen-randwertprobleme
    • Tornig, W., Monoton konvergente Iterationsverfahren zur Losung michtlinearer differenzen-randwertprobleme, Beitrage zur Numer. Math., 4, (1975), 245-257.
    • (1975) Beitrage zur Numer. Math , vol.4 , pp. 245-257
    • Tornig, W.1
  • 266
    • 28044444940 scopus 로고    scopus 로고
    • Generalized equations and the generalized Newton method
    • Uko, L. U., Generalized equations and the generalized Newton method., Mathematical Programming, 73,(1996), 251-268.
    • (1996) Mathematical Programming , vol.73 , pp. 251-268
    • Uko, L.U.1
  • 267
    • 84931104695 scopus 로고
    • Majorant principle and the secant method
    • Russian
    • Ulm, S., Majorant principle and the secant method, I.A.N. Estonskoi S.S.R Fiz. Mat. 3,(1964), 217-227 (in Russian).
    • (1964) I.A.N. Estonskoi S.S.R Fiz. Mat , vol.3 , pp. 217-227
    • Ulm, S.1
  • 268
    • 0002321366 scopus 로고
    • Iteration methods with divided differences of the second order
    • Russian
    • Ulm, S., Iteration methods with divided differences of the second order, (Russian), Dokl. Akad. Nauk SSSR, 158,(1964), 55-58.
    • (1964) Dokl. Akad. Nauk SSSR , vol.158 , pp. 55-58
    • Ulm, S.1
  • 270
    • 0001324977 scopus 로고
    • The stability of dynamic processes
    • Uzawa, H., The stability of dynamic processes, Econometrica, 29, (1961), 617-631.
    • (1961) Econometrica , vol.29 , pp. 617-631
    • Uzawa, H.1
  • 271
    • 0007181453 scopus 로고
    • Newton’s method for convex operators in partially ordered spaces
    • Vandergraft, J. S., Newton’s method for convex operators in partially ordered spaces, SIAM J. Numer. Anal., 4, (1967), 406-432.
    • (1967) SIAM J. Numer. Anal , vol.4 , pp. 406-432
    • Vandergraft, J.S.1
  • 273
    • 21744434348 scopus 로고    scopus 로고
    • Nonlinear variational and constrained hemivariational inequalities involving relaxed operators
    • Verma, R. U., Nonlinear variational and constrained hemivariational inequalities involving relaxed operators., Z. Angew. Math. Mech., 77,(1997), no. 5, 387-391.
    • (1997) Z. Angew. Math. Mech , vol.77 , Issue.5 , pp. 387-391
    • Verma, R.U.1
  • 274
    • 0000203454 scopus 로고    scopus 로고
    • Approximation-solvability of nonlinear variational inequalities involving partially relaxed monotone (PRM) mappings
    • Verma, R. U., Approximation-solvability of nonlinear variational inequalities involving partially relaxed monotone (PRM) mappings., Adv. Nonlinear Var. Inequal., 2, (1999), no. 2, 137-148.
    • (1999) Adv. Nonlinear Var. Inequal , vol.2 , Issue.2 , pp. 137-148
    • Verma, R.U.1
  • 275
    • 0012263036 scopus 로고    scopus 로고
    • A class of projection-contraction methods applied to monotone variational inequalities
    • Verma, R. U., A class of projection-contraction methods applied to monotone variational inequalities., Appl. Math. Lett., 13,(2000), no. 8, 55-62.
    • (2000) Appl. Math. Lett , vol.13 , Issue.8 , pp. 55-62
    • Verma, R.U.1
  • 276
    • 1342297702 scopus 로고    scopus 로고
    • Generalized multivalued implicit variational inequalities involving the Verma class of mappings
    • Verma, R. U., Generalized multivalued implicit variational inequalities involving the Verma class of mappings., Math. Sci. Res. Hot-Line, 5, (2001), no. 2, 57-64.
    • (2001) Math. Sci. Res. Hot-Line , vol.5 , Issue.2 , pp. 57-64
    • Verma, R.U.1
  • 277
    • 0025505599 scopus 로고
    • Large change secant update methods for undetermined systems
    • Walker, H.F. and Watson, L.T., Large change secant update methods for undetermined systems, SIAM J. Numer. Anal., 27,(1990), 1227-1262.
    • (1990) SIAM J. Numer. Anal , vol.27 , pp. 1227-1262
    • Walker, H.F.1    Watson, L.T.2
  • 278
    • 0016073225 scopus 로고
    • On the approximation of fixed points of nonlinear compactr operators
    • Weiss, R., On the approximation of fixed points of nonlinear compactr operators, SIAM J. Num. Anal, 11,(1974), 550-553.
    • (1974) SIAM J. Num. Anal , vol.11 , pp. 550-553
    • Weiss, R.1
  • 280
    • 45149145607 scopus 로고
    • Global asymptotic stability in discrete systems
    • Wu, J. W and Brown, D. P., Global asymptotic stability in discrete systems, J. Math. Anal. Appl, 140,(1989), no. 1,224-227.
    • (1989) J. Math. Anal. Appl , vol.140 , pp. 224-227
    • Wu, J.W.1    Brown, D.P.2
  • 281
    • 0009539911 scopus 로고
    • Error bounds for computed eigenvalues and eigenvectors
    • Yamamoto, T., Error bounds for computed eigenvalues and eigenvectors, Numer. Math., 39,(1980), 189-199.
    • (1980) Numer. Math , vol.39 , pp. 189-199
    • Yamamoto, T.1
  • 282
    • 0000205950 scopus 로고
    • A method for finding sharp error bounds for Newton’s method under the Kantorovich assumptions
    • Yamamoto, T., A method for finding sharp error bounds for Newton’s method under the Kantorovich assumptions, Numer. Math., 44,(1986), 203-220.
    • (1986) Numer. Math , vol.44 , pp. 203-220
    • Yamamoto, T.1
  • 283
    • 0041338068 scopus 로고
    • A convergence theorem for Newton-like methods in Banach spaces
    • Yamamoto, T., A convergence theorem for Newton-like methods in Banach spaces, Numer. Math., 51,(1987), 545-557.
    • (1987) Numer. Math , vol.51 , pp. 545-557
    • Yamamoto, T.1
  • 284
    • 0023415814 scopus 로고
    • A note on a posteriori error bound of Zabrejko and Nguen for Zincenkos iteration
    • Yamamoto, T., A note on a posteriori error bound of Zabrejko and Nguen for Zincenkos iteration, Numer. Funct. Anal, and Optimiz., 9,(9 and 10), (1987), 987-994.
    • (1987) Numer. Funct. Anal, and Optimiz , vol.9 , Issue.9 , pp. 987-994
    • Yamamoto, T.1
  • 285
    • 0024302091 scopus 로고
    • Convergence domains of certain iterative methods for solving nonlinear equations
    • Yamamoto, T. and Chen, Z., Convergence domains of certain iterative methods for solving nonlinear equations, Numer. Funct. Anal. Optim., 10,(1989), 34-48.
    • (1989) Numer. Funct. Anal. Optim , vol.10 , pp. 34-48
    • Yamamoto, T.1    Chen, Z.2
  • 287
    • 0039381062 scopus 로고
    • Affineinvariant convergence results for Newton’s methods
    • Ypma, T.J., Affineinvariant convergence results for Newton’s methods, BIT, 22, (1982), 108-118.
    • (1982) BIT , vol.22 , pp. 108-118
    • Ypma, T.J.1
  • 288
    • 0000422403 scopus 로고
    • The effect of rounding error on Newton-like methods
    • Ypma, T.J., The effect of rounding error on Newton-like methods, IMA J. Numer. Anal., 3,(1983), 109-118.
    • (1983) IMA J. Numer. Anal , vol.3 , pp. 109-118
    • Ypma, T.J.1
  • 289
    • 0040910805 scopus 로고
    • Convergence of Newton-like iterative methods
    • Ypma, T. J., Convergence of Newton-like iterative methods, Numer. Math., 45, (1984), 241-251.
    • (1984) Numer. Math , vol.45 , pp. 241-251
    • Ypma, T.J.1
  • 290
    • 0021446370 scopus 로고
    • Local convergence of inexact Newton methods
    • Ypma, T. J., Local convergence of inexact Newton methods, SIAM J. Numer. Anal., 21,(1984), 583-590.
    • (1984) SIAM J. Numer. Anal , vol.21 , pp. 583-590
    • Ypma, T.J.1
  • 291
    • 0032327833 scopus 로고    scopus 로고
    • The Newton and Halley methods for complex roots
    • Yau, L., Ben-Israel, A., The Newton and Halley methods for complex roots, Amer. Math. Monthly, 105,(1998), no. 9, 806-818.
    • (1998) Amer. Math. Monthly , vol.105 , Issue.9 , pp. 806-818
    • Yau, L.1    Ben-Israel, A.2
  • 292
    • 0003668178 scopus 로고
    • North-Holland Publ., Amsterdam
    • Zaanen, A. C., Linear analysis, North-Holland Publ., Amsterdam, 1953.
    • (1953) Linear analysis
    • Zaanen, A.C.1
  • 293
  • 294
    • 0023344904 scopus 로고
    • The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates
    • Zabrejko, P. P.; Nguen, D. F., The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates, Numer. Funct. Anal. Optim., 9,(1987), no. 5-6,671-684.
    • (1987) Numer. Funct. Anal. Optim , vol.9 , Issue.5-6 , pp. 671-684
    • Zabrejko, P.P.1    Nguen, D.F.2
  • 296
    • 0003775305 scopus 로고
    • A unified Approach Prentice-Hall, Englewood Cliffs, N.J
    • Zangwill, W.I., Nonlinear Programming, A unified Approach Prentice-Hall, Englewood Cliffs, N.J., (1969).
    • (1969) Nonlinear Programming
    • Zangwill, W.I.1
  • 298
    • 34250279622 scopus 로고
    • An application of a modification of the Newton-Kantorovich method to the approximate construction of implicit functions (Ukrainian)
    • Zlepko, P.P. and Migovich, F.M., an application of a modification of the Newton-Kantorovich method to the approximate construction of implicit functions (Ukrainian), Ukrainskii Mathematischeskii Zhurnal, 30,2 (1978), 222-226.
    • (1978) Ukrainskii Mathematischeskii Zhurnal , vol.30 , Issue.2 , pp. 222-226
    • Zlepko, P.P.1    Migovich, F.M.2
  • 299
    • 0010047579 scopus 로고
    • A note on the comparison of the Kantorovich and Moore theorems
    • Zuhe, Shen, Wolfe, M. A., A note on the comparison of the Kantorovich and Moore theorems, Nonlinear Anal., 15, (1990), no. 3, 229-232.
    • (1990) Nonlinear Anal , vol.15 , Issue.3 , pp. 229-232
    • Zuhe, S.1    Wolfe, M.A.2


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