메뉴 건너뛰기




Volumn 193, Issue 2, 2006, Pages 397-412

Convergence of nonmonotone line search method

Author keywords

Convergence; General line search method; Nonmonotone line search; Unconstrained optimization

Indexed keywords

COMPUTATIONAL METHODS; NUMERICAL ANALYSIS; THEOREM PROVING;

EID: 33646270635     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.06.033     Document Type: Article
Times cited : (38)

References (19)
  • 1
    • 84966275544 scopus 로고
    • Minimization of functions having Lipschitz continuous first partial derivatives
    • Armijo L. Minimization of functions having Lipschitz continuous first partial derivatives. Pacific J. Math. 16 (1966) 1-3
    • (1966) Pacific J. Math. , vol.16 , pp. 1-3
    • Armijo, L.1
  • 3
    • 0036112899 scopus 로고    scopus 로고
    • On the nonmonotone line search
    • Dai Y.H. On the nonmonotone line search. J. Optim. Theory Appl. 112 2 (2002) 315-330
    • (2002) J. Optim. Theory Appl. , vol.112 , Issue.2 , pp. 315-330
    • Dai, Y.H.1
  • 4
    • 0003859310 scopus 로고
    • On steepest descent
    • Goldstein A.A. On steepest descent. SIAM J. Control 3 (1965) 147-151
    • (1965) SIAM J. Control , vol.3 , pp. 147-151
    • Goldstein, A.A.1
  • 5
    • 0022766519 scopus 로고
    • A nonmonotone line search technique for Newton's method
    • Grippo L., Lampariello F., and Lucidi S. A nonmonotone line search technique for Newton's method. SIAM J. Numer. Anal. 23 (1986) 707-716
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 707-716
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 6
    • 0000843862 scopus 로고
    • A truncated Newton method with nonmonotone line search for unconstrained optimization
    • Grippo L., Lampariello F., and Lucidi S. A truncated Newton method with nonmonotone line search for unconstrained optimization. J. Optim. Theory Appl. 60 (1989) 401-419
    • (1989) J. Optim. Theory Appl. , vol.60 , pp. 401-419
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 7
    • 0036853835 scopus 로고    scopus 로고
    • Nonmonotone globalization techniques for the Barzilai-Borwein gradient method
    • Grippo L., and Sciandrone M. Nonmonotone globalization techniques for the Barzilai-Borwein gradient method. Comp. Optim. Appl. 23 (2002) 143-169
    • (2002) Comp. Optim. Appl. , vol.23 , pp. 143-169
    • Grippo, L.1    Sciandrone, M.2
  • 8
    • 33646236888 scopus 로고    scopus 로고
    • Global convergence of algorithms with nonmonotone line search strategy in unconstrained optimization
    • Hüther B. Global convergence of algorithms with nonmonotone line search strategy in unconstrained optimization. Results Math. 41 (2002) 320-333
    • (2002) Results Math. , vol.41 , pp. 320-333
    • Hüther, B.1
  • 12
    • 85049776636 scopus 로고
    • Optimization Software, Inc., Publications Division, New York
    • Polyak B.T. Introduction to optimization (1987), Optimization Software, Inc., Publications Division, New York
    • (1987) Introduction to optimization
    • Polyak, B.T.1
  • 13
    • 4444343782 scopus 로고    scopus 로고
    • Convergence of line search methods for unconstrained optimization
    • Shi Z.J. Convergence of line search methods for unconstrained optimization. Appl. Math. Comput. 157 (2004) 393-405
    • (2004) Appl. Math. Comput. , vol.157 , pp. 393-405
    • Shi, Z.J.1
  • 14
    • 28244454161 scopus 로고    scopus 로고
    • New inexact line search method for unconstrained optimization
    • (to appear)
    • Shi Z.J., and Shen J. New inexact line search method for unconstrained optimization. J. Optim. Theory Appl. 127 2 (2005) (to appear)
    • (2005) J. Optim. Theory Appl. , vol.127 , Issue.2
    • Shi, Z.J.1    Shen, J.2
  • 15
    • 0009285418 scopus 로고
    • On convergence properties of algorithms for unconstrained minimization
    • Todd M.J. On convergence properties of algorithms for unconstrained minimization. IMA J. Numer. Anal. 9 (1989) 435-441
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 435-441
    • Todd, M.J.1
  • 17
    • 0014492147 scopus 로고
    • Convergence conditions for ascent methods
    • Wolfe P. Convergence conditions for ascent methods. SIAM Review 11 (1969) 226-235
    • (1969) SIAM Review , vol.11 , pp. 226-235
    • Wolfe, P.1
  • 18
    • 0001796942 scopus 로고
    • Convergence condition for ascent methods II: some corrections
    • Wolfe P. Convergence condition for ascent methods II: some corrections. SIAM Review 13 (1971) 185-188
    • (1971) SIAM Review , vol.13 , pp. 185-188
    • Wolfe, P.1
  • 19
    • 9944262108 scopus 로고    scopus 로고
    • A nonmonotone line search technique and its application to unconstrained optimization
    • Zhang H.C., and Hager W.W. A nonmonotone line search technique and its application to unconstrained optimization. SIAM J. Optim. 14 (2004) 1043-1056
    • (2004) SIAM J. Optim. , vol.14 , pp. 1043-1056
    • Zhang, H.C.1    Hager, W.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.