메뉴 건너뛰기




Volumn 53, Issue 11, 2010, Pages 2907-2915

Sparse two-sided rank-one updates for nonlinear equations

Author keywords

Broyden rank one update; sparsity; TR1 update

Indexed keywords


EID: 78249267923     PISSN: 16747283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-010-4056-x     Document Type: Article
Times cited : (1)

References (12)
  • 1
    • 84968510937 scopus 로고
    • A class of methods for solving nonlinear simultaneous equations
    • Broyden C G. A class of methods for solving nonlinear simultaneous equations. Math Comp, 1965, 19: 577-593.
    • (1965) Math Comp , vol.19 , pp. 577-593
    • Broyden, C.G.1
  • 2
    • 0000947761 scopus 로고
    • Convergence theorems for least change secant update methods
    • Dennis Jr J E, Walker H F. Convergence theorems for least change secant update methods. SIAM J Numer Anal, 1981, 18: 949-987.
    • (1981) SIAM J Numer Anal , vol.18 , pp. 949-987
    • Dennis Jr., J.E.1    Walker, H.F.2
  • 3
    • 0002308279 scopus 로고
    • Conjugate gradient methods for indefinite systems
    • G. Watson (Ed.), New York: Springer
    • Fletcher R. Conjugate gradient methods for indefinite systems. In: Watson G, ed. Proc Dundee Biennial Conf on Numerical Analysis. New York: Springer, 1975.
    • (1975) Proc Dundee Biennial Conf on Numerical Analysis
    • Fletcher, R.1
  • 4
    • 0036817650 scopus 로고    scopus 로고
    • On constrained optimization by adjoint based quasi-Newton methods
    • Griewank A, Walther A. On constrained optimization by adjoint based quasi-Newton methods. Optim Methods Softw, 2002, 17: 869-889.
    • (2002) Optim Methods Softw , vol.17 , pp. 869-889
    • Griewank, A.1    Walther, A.2
  • 5
    • 0002814189 scopus 로고
    • Solution of systems of linear equations by minimized iteration
    • Lanczos C. Solution of systems of linear equations by minimized iteration. J Res Nat Bur Stand, 1952, 49: 33-53.
    • (1952) J Res Nat Bur Stand , vol.49 , pp. 33-53
    • Lanczos, C.1
  • 6
    • 0028448558 scopus 로고
    • Inexact trust region method for large sparse system of nonlinear equations
    • Luksan L. Inexact trust region method for large sparse system of nonlinear equations. J Optim Theory Appl, 1994, 81: 569-590.
    • (1994) J Optim Theory Appl , vol.81 , pp. 569-590
    • Luksan, L.1
  • 7
    • 78249286157 scopus 로고    scopus 로고
    • Local convergence analysis of TR1 updates for solving nonlinear equations
    • Preprint
    • Schlenkrich S, Griewank A, Walther A. Local convergence analysis of TR1 updates for solving nonlinear equations. MATHEON, Preprint 337, 2006.
    • (2006) MATHEON , vol.337
    • Schlenkrich, S.1    Griewank, A.2    Walther, A.3
  • 9
    • 84966239443 scopus 로고
    • Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian
    • Schubert L K. Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian. Math Comp, 1970, 24: 27-30.
    • (1970) Math Comp , vol.24 , pp. 27-30
    • Schubert, L.K.1
  • 10
    • 0007113630 scopus 로고    scopus 로고
    • On sparse and symmetric matrix updating subject to a linear equation
    • Toint Ph L. On sparse and symmetric matrix updating subject to a linear equation. Math Comp, 1997, 31: 954-961.
    • (1997) Math Comp , vol.31 , pp. 954-961
    • Toint, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.