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Volumn 17, Issue 1-2, 1996, Pages 113-121

Resolution of quadratic equations in Banach spaces

Author keywords

Chebyshev method; Convergence theorem; Error estimates; Halley method; Nonlinear equations in Banach spaces; Super Halley method; Third order method

Indexed keywords


EID: 0040393671     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569608816686     Document Type: Article
Times cited : (18)

References (20)
  • 1
    • 0000690366 scopus 로고
    • Concerning the Method of Tangent Hyperbolas for Operator Equations
    • ALTMAN, D., Concerning the Method of Tangent Hyperbolas for Operator Equations, Bull. Ac. Pol. Sci., Ser. Sci., Math., Ast. et Phys., 9, (1961), 633-637.
    • (1961) Bull. Ac. Pol. Sci., Ser. Sci., Math., Ast. et Phys. , vol.9 , pp. 633-637
    • Altman, D.1
  • 2
    • 0001632262 scopus 로고
    • Results on the Chebyshev Method in Banach Spaces
    • ARGYROS, I.K. AND CHEN, D., Results on the Chebyshev Method in Banach Spaces, Proyecciones, 12, 2, (1993), 119-128.
    • (1993) Proyecciones , vol.12 , Issue.2 , pp. 119-128
    • Argyros, I.K.1    Chen, D.2
  • 3
    • 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), 275-292.
    • (1985) Bull. Austral Math Soc. , vol.32 , pp. 275-292
    • Argyros, I.K.1
  • 4
    • 0025238355 scopus 로고
    • Recurrence Relations for Rational Cubic Methods I: The Halley Method
    • CANDELA, V. AND MARQUINA, A., Recurrence Relations for Rational Cubic Methods I: The Halley Method, Computing, 44, (1990), 169-184.
    • (1990) Computing , vol.44 , pp. 169-184
    • Candela, V.1    Marquina, A.2
  • 5
    • 0025560676 scopus 로고
    • Recurrence Relations for Rational Cubic Methods II: The Chebyshev Method
    • CANDELA, V. AND MARQUINA, A., Recurrence Relations for Rational Cubic Methods II: The Chebyshev Method, Computing, 45, (1990), 355-367.
    • (1990) Computing , vol.45 , pp. 355-367
    • Candela, V.1    Marquina, A.2
  • 6
    • 0000298351 scopus 로고
    • A Note on the Halley Method in Banach Spaces
    • CHEN, D., ARGYROS, I.K. AND QIAN, Q.S., A Note on the Halley Method in Banach Spaces, App. Math. Comput., 58, (1993), 215-224.
    • (1993) App. Math. Comput. , vol.58 , pp. 215-224
    • Chen, D.1    Argyros, I.K.2    Qian, Q.S.3
  • 7
    • 0002639758 scopus 로고
    • A Local Convergence Theorem for the Super-Halley Method in a Banach Space
    • CHEN, D., ARGYROS, I.K. AND QIAN, Q.S., A Local Convergence Theorem for the Super-Halley Method in a Banach Space, App. Math. Lett., 7, 5, (1994), 49-52.
    • (1994) App. Math. Lett. , vol.7 , Issue.5 , pp. 49-52
    • Chen, D.1    Argyros, I.K.2    Qian, Q.S.3
  • 11
    • 0001440927 scopus 로고
    • A Note on Halley's Method
    • HERNÁNDEZ, 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
    • Hernández, M.A.1
  • 17
    • 51249194659 scopus 로고
    • Quadratic Equations in Banach Spaces
    • RALL, L.B., Quadratic Equations in Banach Spaces, Rend. Circ. Mat. Palermo 10 (1961), 314-332.
    • (1961) Rend. Circ. Mat. Palermo , vol.10 , pp. 314-332
    • Rall, L.B.1
  • 19
    • 0002214493 scopus 로고
    • A Unified Convergence Theory for a Class of Iterative Process
    • RHEINBOLDT, W.C., A Unified Convergence Theory for a Class of Iterative Process, SIAM J. Numer. Anal., 5, (1968), 42-63.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 42-63
    • Rheinboldt, W.C.1
  • 20
    • 0023827018 scopus 로고
    • On the Method of Tangent Hyperbolas in Banach Spaces
    • YAMAMOTO, T., On the Method of Tangent Hyperbolas in Banach Spaces, J. Comput. Appl. Math., 21, (1988), 75-86.
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 75-86
    • Yamamoto, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.