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Applied Mathematics and Computation
Volumn 117, Issue 1, 2001, Pages 103-115
The stability of gradient-like methods
Author keywords

Gradient method; Iterative methods; Nonlinear systems; Stability
Indexed keywords

EID: 0348202232     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00143-5     Document Type: Article
Times cited : (11)
References (12)
  • 1
    • 21844490182 scopus 로고
    • On nonlinear generalized conjugate gradient methods
    • O. Axelsson, A.T. Chronopoulos, On nonlinear generalized conjugate gradient methods, Numer. Math. 69 (1994) 1-15.
    • (1994) Numer. Math. , vol.69 , pp. 1-15
    • Axelsson, O.1    Chronopoulos, A.T.2
  • 2
    • 84966233479 scopus 로고
    • A stability analysis for perturbed nonlinear iterative methods
    • P.T. Boggs, J.E. Denis Jr., A stability analysis for perturbed nonlinear iterative methods, Math. Comp. 30 (134) (1967) 199-215.
    • (1967) Math. Comp. , vol.30 , Issue.134 , pp. 199-215
    • Boggs, P.T.1    Denis J.E., Jr.2
  • 3
    • 0002135617 scopus 로고
    • Nonlinear CG-like iterative methods
    • A.T. Chronopoulos, Nonlinear CG-like iterative methods, J. Comp. Appl. Math. 40 (1992) 73-89.
    • (1992) J. Comp. Appl. Math. , vol.40 , pp. 73-89
    • Chronopoulos, A.T.1
  • 4
    • 0041862699 scopus 로고
    • Convergence of the conjugate gradient method with computationally convenient modifications
    • J.W. Daniel, Convergence of the conjugate gradient method with computationally convenient modifications, Numer. Math. 10 (1967) 125-131.
    • (1967) Numer. Math. , vol.10 , pp. 125-131
    • Daniel, J.W.1
  • 5
    • 0345903722 scopus 로고
    • An iterative process with minimum errors for nonlinear operator equations
    • V. Fridman, An iterative process with minimum errors for nonlinear operator equations, Dokl. Akad. Nauk SSSR 139 (1961) 1063-1066.
    • (1961) Dokl. Akad. Nauk SSSR , vol.139 , pp. 1063-1066
    • Fridman, V.1
  • 6
    • 0000544273 scopus 로고
    • A stable iteration procedure for nonexpansive mappings
    • A.M. Harder, T.L. Hicks, A stable iteration procedure for nonexpansive mappings, Math. Japon. 33 (1988) 687-692.
    • (1988) Math. Japon. , vol.33 , pp. 687-692
    • Harder, A.M.1    Hicks, T.L.2
  • 7
    • 0347164977 scopus 로고    scopus 로고
    • An extension of A. Ostrowski's theorem on the round-off stability of iterations
    • J.R. Jachymski, An extension of A. Ostrowski's theorem on the round-off stability of iterations, Aequationes Math. 53 (1997) 242-253.
    • (1997) Aequationes Math. , vol.53 , pp. 242-253
    • Jachymski, J.R.1
  • 8
    • 0345903715 scopus 로고
    • Optimal weight factor in conjugate gradient method for nonlinear system of equations
    • Department of Informatics, West University of Timisoara
    • St. Maruster. Optimal weight factor in conjugate gradient method for nonlinear system of equations, Research Report, Department of Informatics, West University of Timisoara, 1992.
    • (1992) Research Report
    • St. Maruster1
  • 9
    • 0006755050 scopus 로고
    • Stability of difference equations and convergence of iterative proccess
    • J.M. Ortega, Stability of difference equations and convergence of iterative proccess, SIAM J. Numer. Anal. 10 (2) (1973) 268-282.
    • (1973) SIAM J. Numer. Anal. , vol.10 , Issue.2 , pp. 268-282
    • Ortega, J.M.1
  • 11
    • 0345903723 scopus 로고
    • The round-off stability of iterations
    • A.M. Ostrowski, The round-off stability of iterations, Z. Angew. Math. Mech. 47 (2) (1967) 77-81.
    • (1967) Z. Angew. Math. Mech. , vol.47 , Issue.2 , pp. 77-81
    • Ostrowski, A.M.1
  • 12
    • 0001693342 scopus 로고
    • Numerical stability for solving nonlinear equations
    • H. Wozniakowski, Numerical stability for solving nonlinear equations, Numer. Math. 27 (1977) 373-390.
    • (1977) Numer. Math. , vol.27 , pp. 373-390
    • Wozniakowski, H.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.