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Volumn 161, Issue 3, 2005, Pages 875-895

Nonmonotone backtracking inexact quasi-Newton algorithms for solving smooth nonlinear equations

Author keywords

Inexact quasi Newton methods; Nonlinear equations; Nonmonotone technique

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; THEOREM PROVING;

EID: 10644282908     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.074     Document Type: Article
Times cited : (30)

References (7)
  • 1
    • 0000301196 scopus 로고
    • Convergence theory of nonlinear Newton-Kryloy algorithms
    • P.N. Brown, Y. Saad, Convergence theory of nonlinear Newton-Kryloy algorithms, SIAM J. Optim. 4 (1994) 297-330.
    • (1994) SIAM J. Optim. , vol.4 , pp. 297-330
    • Brown, P.N.1    Saad, Y.2
  • 3
    • 0002663672 scopus 로고
    • Quasi-Newton methods, motivation and theory
    • J.E. Dennis Jr., J.J. Moré, Quasi-Newton methods, motivation and theory, SIAM Rev. 19 (1977) 46-89.
    • (1977) SIAM Rev. , vol.19 , pp. 46-89
    • Dennis Jr., J.E.1    Moré, J.J.2
  • 4
    • 0004041275 scopus 로고
    • Numerical methods for unconstrained optimization and nonlinear equations
    • Prentice-Hall, Englewood Cliffs, NJ
    • J.E. Dennis Jr., R.B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, in: Prentice-Hall Series in Computation; Mathematics, Prentice-Hall, Englewood Cliffs, NJ, 1983.
    • (1983) Prentice-hall Series in Computation; Mathematics
    • Dennis Jr., J.E.1    Schnabel, R.B.2
  • 5
    • 0001330894 scopus 로고
    • Globally convergence inexact Newton methods
    • S.C. Eisenstat, H.F. Walker, Globally convergence inexact Newton methods, SIAM J. Optim. 4 (1994) 393-422.
    • (1994) SIAM J. Optim. , vol.4 , pp. 393-422
    • Eisenstat, S.C.1    Walker, H.F.2
  • 6
    • 0022766519 scopus 로고
    • A nonmonotone line search technique for Newton's methods
    • L. Gripp, F. Lampariello, Lucidi, A nonmonotone line search technique for Newton's methods, SIAM J. Numer. Anal. 23 (1986) 707-716.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 707-716
    • Gripp, L.1    Lampariello Lucidi, F.2
  • 7
    • 0021446370 scopus 로고
    • Local convergence of inexact Newton methods
    • T.J. Ypma, 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.