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Volumn 36, Issue 1, 1999, Pages 275-289

Gradient method with retards and generalizations

Author keywords

Barzilai Borwein method; Conjugate gradient method; Gradient method; Rayleigh quotient; Symmetric successive overrelaxation (SSOR) preconditioning strategy

Indexed keywords


EID: 0000213421     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/s003614299427315x     Document Type: Article
Times cited : (132)

References (20)
  • 1
    • 0021825930 scopus 로고
    • A survey of preconditioning iterative methods for linear systems of algebraic equations
    • O. AXELSSON, A survey of preconditioning iterative methods for linear systems of algebraic equations, BIT, 25 (1985), pp. 166-187.
    • (1985) Bit , vol.25 , pp. 166-187
    • Axelsson, O.1
  • 3
    • 0001531895 scopus 로고
    • Two point step size gradient methods
    • J. BARZILAI AND J. M. BORWEIN, Two point step size gradient methods, IMA J. Numer. Anal., 8 (1988), pp. 141-148.
    • (1988) IMA J. Numer. Anal. , vol.8 , pp. 141-148
    • Barzilai, J.1    Borwein, J.M.2
  • 5
    • 84966259557 scopus 로고
    • A characterization of superlinear convergence and its application to quasi-Newton methods
    • J. E. DENNIS AND J. J. MORÉ, A characterization of superlinear convergence and its application to quasi-Newton methods, Math. Comp., 28 (1974), pp. 549-560.
    • (1974) Math. Comp. , vol.28 , pp. 549-560
    • Dennis, J.E.1    Moré, J.J.2
  • 6
    • 38149145034 scopus 로고
    • Global inexact Newton methods for very large scale nonlinear problems
    • P. DEUFLHARD, Global inexact Newton methods for very large scale nonlinear problems, Impact Comput. Sci. Engrg., 3 (1991), pp. 366-393.
    • (1991) Impact Comput. Sci. Engrg. , vol.3 , pp. 366-393
    • Deuflhard, P.1
  • 7
    • 0001330894 scopus 로고
    • Globally convergent inexact Newton methods
    • S. C. EISENSTAT AND H. F. WALKER, Globally convergent inexact Newton methods, SIAM J. Optim., 4 (1994), pp. 393-422.
    • (1994) SIAM J. Optim. , vol.4 , pp. 393-422
    • Eisenstat, S.C.1    Walker, H.F.2
  • 8
    • 0000064079 scopus 로고
    • On the maximization of a concave quadratic function with box constraints
    • A. FRIEDLANDER AND J. M. MARTÍNEZ, On the maximization of a concave quadratic function with box constraints, SIAM J. Optim., 4 (1994), pp. 177-192.
    • (1994) SIAM J. Optim. , vol.4 , pp. 177-192
    • Friedlander, A.1    Martínez, J.M.2
  • 9
    • 0029424630 scopus 로고
    • A new method for large-scale box constrained quadratic minimization problems
    • A. FRIEDLANDER, J. M. MARTÍNEZ, AND M. RAYDAN, A new method for large-scale box constrained quadratic minimization problems, Optim. Methods Softw., 5 (1995), pp. 57-74.
    • (1995) Optim. Methods Softw. , vol.5 , pp. 57-74
    • Friedlander, A.1    Martínez, J.M.2    Raydan, M.3
  • 10
    • 0000922470 scopus 로고
    • Molecular conformations from distance matrices
    • W. GLUNT, T. L. HAYDEN, AND M. RAYDAN, Molecular conformations from distance matrices, J. Comput. Chem., 14 (1993), pp. 114-120.
    • (1993) J. Comput. Chem. , vol.14 , pp. 114-120
    • Glunt, W.1    Hayden, T.L.2    Raydan, M.3
  • 11
  • 12
    • 0003039594 scopus 로고
    • A class of first order factorization methods
    • I. GUSTAFSSON, A class of first order factorization methods, BIT, 18 (1978), pp. 142-156.
    • (1978) Bit , vol.18 , pp. 142-156
    • Gustafsson, I.1
  • 15
    • 84968518789 scopus 로고
    • A theory of secant preconditioners
    • J. M. MARTÍNEZ, A theory of secant preconditioners, Math. Comp., 60 (1993), pp. 681-698.
    • (1993) Math. Comp. , vol.60 , pp. 681-698
    • Martínez, J.M.1
  • 16
    • 21444432174 scopus 로고    scopus 로고
    • Preconditioned Barzilai-Borwein method for the numerical solution of partial differential equations
    • B. MOLINA AND M. RAYDAN, Preconditioned Barzilai-Borwein method for the numerical solution of partial differential equations, Numer. Algorithms, 13 (1996), pp. 45-60.
    • (1996) Numer. Algorithms , vol.13 , pp. 45-60
    • Molina, B.1    Raydan, M.2
  • 18
    • 0011739235 scopus 로고
    • On the Barzilai and Borwein choice of steplength for the gradient method
    • M. RAYDAN, On the Barzilai and Borwein choice of steplength for the gradient method, IMA J. Numer. Anal., 13 (1993), pp. 321-326.
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 321-326
    • Raydan, M.1
  • 19
    • 0031542191 scopus 로고    scopus 로고
    • The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem
    • M. RAYDAN, The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem, SIAM J. Optim., 7 (1997), pp. 26-33.
    • (1997) SIAM J. Optim. , vol.7 , pp. 26-33
    • Raydan, M.1
  • 20
    • 0021446370 scopus 로고
    • Local convergence of inexact Newton methods
    • T. J. YPMA, Local convergence of inexact Newton methods, SIAM J. Numer. Anal., 21 (1984), pp. 583-590.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 583-590
    • Ypma, T.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.