메뉴 건너뛰기




Volumn 7, Issue 1, 1997, Pages 26-33

The Barzilaiai and Borwein gradient method for the large scale unconstrained minimization problem

Author keywords

Barzilai and borwein method; Conjugate gradient method; Nonmonotone line search; Unconstrained optimization

Indexed keywords


EID: 0031542191     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623494266365     Document Type: Article
Times cited : (671)

References (20)
  • 1
    • 0001531895 scopus 로고    scopus 로고
    • Two point step size gradient methods
    • J. BARZILAI AND J. M. BORWEIN, Two point step size gradient methods, IMA J. Numer. Anal., 8 (1998), pp. 141-148.
    • (1998) IMA J. Numer. Anal. , vol.8 , pp. 141-148
    • Barzilai, J.1    Borwein, J.M.2
  • 2
    • 0020830122 scopus 로고
    • QN-like variable storage conjugate gradients
    • A. BUCKLEY AND A. LENIR, QN-like variable storage conjugate gradients, Math. Programming, 27 (1983), pp. 155-175.
    • (1983) Math. Programming , vol.27 , pp. 155-175
    • Buckley, A.1    Lenir, A.2
  • 5
    • 0000504131 scopus 로고
    • Low storage, methods for unconstrained optimization
    • American Mathematical Society, Providence, RI
    • R. FLETCHER, Low storage, methods for unconstrained optimization, in Lectures in Applied Mathematics, Vol. 26, American Mathematical Society, Providence, RI, 1990, pp. 165-179.
    • (1990) Lectures in Applied Mathematics , vol.26 , pp. 165-179
    • Fletcher, R.1
  • 6
    • 0029424630 scopus 로고
    • A new method for large-scale box constrained convex qúadratic minimization problems
    • A. FRIEDLANDER, J. M. MATINEZ, AND M. RAYDAN, A new method for large-scale box constrained convex qúadratic minimization problems, Optim. Methods and Software, 5 (1995), pp. 57-74.
    • (1995) Optim. Methods and Software , vol.5 , pp. 57-74
    • Friedlander, A.1    Matinez, J.M.2    Raydan, M.3
  • 7
    • 0346032469 scopus 로고
    • QDN: A Variable Storage Algorithm for Unconstrained Optimization
    • Department of Mathematical Sciences, Rice University, Houston, TX
    • N. K. GARG AND R. A. TAPIA, QDN: A Variable Storage Algorithm for Unconstrained Optimization, Technical report, Department of Mathematical Sciences, Rice University, Houston, TX, 1977.
    • (1977) Technical Report
    • Garg, N.K.1    Tapia, R.A.2
  • 8
    • 0002824920 scopus 로고
    • Global convergence properties of conjugate gradient methods for optimization
    • J. C. GILBERT AND J. NOCEDAL, Global convergence properties of conjugate gradient methods for optimization, SIAM J. Optim., 2 (1992), pp. 21-42.
    • (1992) SIAM J. Optim. , vol.2 , pp. 21-42
    • Gilbert, J.C.1    Nocedal, J.2
  • 9
    • 0000922470 scopus 로고
    • Molecular conformations from distance matrices
    • W. GLUNT, T. L. HAYDEN, AND M. RAYDAN, Molecular conformations from distance matrices, J. Comput. Chem., 14 (1993), pp. 114-120.
    • (1993) J. Comput. Chem. , vol.14 , pp. 114-120
    • Glunt, W.1    Hayden, T.L.2    Raydan, M.3
  • 10
    • 0022766519 scopus 로고
    • A nonmonotone, line search technique for Newton's method
    • L. GRIPPO, F. LAMPARIELLO, AND S. LUCIDI, A nonmonotone, line search technique for Newton's method, SIAM J. Numer. Anal., 23 (1986), pp. 707-716.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 707-716
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 11
    • 0001028609 scopus 로고
    • A class of nonmonotone stabilization methods in unconstrained optimization
    • L. GRIPPO, F. LAMPARIELLO, AND S. LUCIDI, A class of nonmonotone stabilization methods in unconstrained optimization, Numer. Math., 59 (1991), pp. 779-805.
    • (1991) Numer. Math. , vol.59 , pp. 779-805
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 14
    • 84972047841 scopus 로고
    • Theory of algorithms for unconstrained optimization
    • J. NOCEDAL, Theory of algorithms for unconstrained optimization, Acta Numerica, 1 (1992), pp. 199-242,
    • (1992) Acta Numerica , vol.1 , pp. 199-242
    • Nocedal, J.1
  • 15
    • 0003098115 scopus 로고
    • Minimization of locally lipschitzian functions
    • [15) J. S. PANG, S. P. HAN, AND N. RANGARAJ, Minimization of locally lipschitzian functions, SIAM J. Optim., 1 (1991), pp. 57-82.
    • (1991) SIAM J. Optim. , vol.1 , pp. 57-82
    • Pang, J.S.1    Han, S.P.2    Rangaraj, N.3
  • 16
    • 0026205566 scopus 로고
    • Avoiding the Maratos effect by means of a nonmonotone, line search I. General constrained problems
    • E. R. PANIER AND A. L. TITS, Avoiding the Maratos effect by means of a nonmonotone, line search I. General constrained problems, SIAM J. Numer. Anal., 28 (1991), pp. 1183-1195.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1183-1195
    • Panier, E.R.1    Tits, A.L.2
  • 17
    • 0001219541 scopus 로고
    • Nonconvex minimization calculations and the conjugate gradient method
    • Springer-Verlag, Berlin
    • M. J. D. POWELL, Nonconvex minimization calculations and the conjugate gradient method, in Lecture Notes in Mathematics, Vol. 1066, Springer-Verlag, Berlin, 1984, pp. 122-141.
    • (1984) Lecture Notes in Mathematics , vol.1066 , pp. 122-141
    • Powell, M.J.D.1
  • 18
    • 0011739235 scopus 로고
    • On the Barzilai and Borwein choice of steplength for the gradient method
    • M. RAYDAN, On the Barzilai and Borwein choice of steplength for the gradient method, IMA J. Numer. Anal., 13 (1993), pp. 321-326.
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 321-326
    • Raydan, M.1
  • 19
    • 84976806770 scopus 로고
    • Remark on algorithm 500: Minimization of unconstrained multivariate functions
    • D. F. SHANNO AND K. H. PHUA, Remark on algorithm 500: Minimization of unconstrained multivariate functions, ACM Trans. Math. Software, 6 (1980), pp. 618-622.
    • (1980) ACM Trans. Math. Software , vol.6 , pp. 618-622
    • Shanno, D.F.1    Phua, K.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.