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Volumn 56, Issue 4, 2008, Pages 1001-1009

A limited memory BFGS-type method for large-scale unconstrained optimization

Author keywords

Large scale optimization; Limited memory BFGS method; Quasi Newton method; Unconstrained optimization

Indexed keywords

AEROSPACE APPLICATIONS; BOOLEAN FUNCTIONS; DATA STORAGE EQUIPMENT; DIGITAL SIGNAL PROCESSING; INTEGER PROGRAMMING; LITHIUM; NUMBER THEORY; NUMERICAL METHODS; OPTIMIZATION;

EID: 46049114505     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.01.028     Document Type: Article
Times cited : (75)

References (23)
  • 1
    • 0034538773 scopus 로고    scopus 로고
    • A survey of truncated-Newton methods
    • Nash S.G. A survey of truncated-Newton methods. J. Comput. Appl. Math. 124 (2000) 45-59
    • (2000) J. Comput. Appl. Math. , vol.124 , pp. 45-59
    • Nash, S.G.1
  • 2
    • 0020763823 scopus 로고
    • Truncated-Newton algorithms for large-scale unconstrained optimization
    • Dembo R., and Steihaug T. Truncated-Newton algorithms for large-scale unconstrained optimization. Math. Program. 26 (1983) 190-212
    • (1983) Math. Program. , vol.26 , pp. 190-212
    • Dembo, R.1    Steihaug, T.2
  • 3
    • 33646887390 scopus 로고
    • On the limited memory BFGS method for large-scale optimization
    • Liu D., and Nocedal J. On the limited memory BFGS method for large-scale optimization. Math. Program. 45 (1989) 503-528
    • (1989) Math. Program. , vol.45 , pp. 503-528
    • Liu, D.1    Nocedal, J.2
  • 4
    • 84966262179 scopus 로고
    • Updating quasi-Newton matrices with limited storage
    • Nocedal J. Updating quasi-Newton matrices with limited storage. Math. Comput. 35 (1980) 773-782
    • (1980) Math. Comput. , vol.35 , pp. 773-782
    • Nocedal, J.1
  • 5
    • 33144465578 scopus 로고    scopus 로고
    • A new conjugate gradient method with guaranteed descent and an efficient line search
    • Hager W.W., and Zhang H. A new conjugate gradient method with guaranteed descent and an efficient line search. SIAM J. Optim. 16 (2005) 170-192
    • (2005) SIAM J. Optim. , vol.16 , pp. 170-192
    • Hager, W.W.1    Zhang, H.2
  • 6
    • 0002824920 scopus 로고
    • Global convergence properties of conjugate gradient methods for optimization
    • Gilbert J.C., and Nocedal J. Global convergence properties of conjugate gradient methods for optimization. SIAM J. Optim. 2 (1992) 21-42
    • (1992) SIAM J. Optim. , vol.2 , pp. 21-42
    • Gilbert, J.C.1    Nocedal, J.2
  • 7
    • 33749239442 scopus 로고    scopus 로고
    • Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
    • Zhang L., Zhou W., and Li D.H. Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search. Numer. Math. 104 (2006) 561-572
    • (2006) Numer. Math. , vol.104 , pp. 561-572
    • Zhang, L.1    Zhou, W.2    Li, D.H.3
  • 8
    • 33749621811 scopus 로고    scopus 로고
    • A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence
    • Zhang L., Zhou W., and Li D.H. A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. IMA J. Numer. Anal. 26 (2006) 629-640
    • (2006) IMA J. Numer. Anal. , vol.26 , pp. 629-640
    • Zhang, L.1    Zhou, W.2    Li, D.H.3
  • 9
    • 33745276908 scopus 로고    scopus 로고
    • A survey of nonlinear conjugate gradient methods
    • Hager W.W., and Zhang H. A survey of nonlinear conjugate gradient methods. Pacific J. Optim. 2 (2006) 35-58
    • (2006) Pacific J. Optim. , vol.2 , pp. 35-58
    • Hager, W.W.1    Zhang, H.2
  • 10
    • 19844363263 scopus 로고    scopus 로고
    • Numerical methods for large-scale nonlinear optimization
    • Gould N.I.M., Orban D., and Toint Ph.L. Numerical methods for large-scale nonlinear optimization. Acta Numer. 14 (2005) 299-361
    • (2005) Acta Numer. , vol.14 , pp. 299-361
    • Gould, N.I.M.1    Orban, D.2    Toint, Ph.L.3
  • 12
    • 5544237802 scopus 로고    scopus 로고
    • The superlinear convergence of a modified BFGS-type method for unconstrained optimization
    • Wei Z., Yu G., Yuan G., and Lian Z. The superlinear convergence of a modified BFGS-type method for unconstrained optimization. Comput. Optim. Appl. 29 (2004) 315-332
    • (2004) Comput. Optim. Appl. , vol.29 , pp. 315-332
    • Wei, Z.1    Yu, G.2    Yuan, G.3    Lian, Z.4
  • 13
    • 0033164194 scopus 로고    scopus 로고
    • New quasi-Newton equation and related methods for unconstrained optimization
    • Zhang J.Z., Deng N.Y., and Chen L.H. New quasi-Newton equation and related methods for unconstrained optimization. J. Optim. Theory Appl. 102 (1999) 147-167
    • (1999) J. Optim. Theory Appl. , vol.102 , pp. 147-167
    • Zhang, J.Z.1    Deng, N.Y.2    Chen, L.H.3
  • 14
    • 33645848452 scopus 로고    scopus 로고
    • New quasi-Newton methods for unconstrained optimization problems
    • Wei Z., Li G., and Qi L. New quasi-Newton methods for unconstrained optimization problems. Appl. Math. Comput. 175 (2006) 1156-1188
    • (2006) Appl. Math. Comput. , vol.175 , pp. 1156-1188
    • Wei, Z.1    Li, G.2    Qi, L.3
  • 15
    • 0000302437 scopus 로고
    • On the local and superlinear convergence of quasi-Newton methods
    • Broyden C.G., Dennis J.E., and Moré J.J. On the local and superlinear convergence of quasi-Newton methods. J. Inst. Math. Appl. 12 (1973) 223-246
    • (1973) J. Inst. Math. Appl. , vol.12 , pp. 223-246
    • Broyden, C.G.1    Dennis, J.E.2    Moré, J.J.3
  • 16
    • 0001423485 scopus 로고
    • A tool for the analysis of quasi-Newton methods with application to unconstrained minimization
    • Byrd R.H., and Nocedal J. A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. SIAM J. Numer. Anal. 26 (1989) 727-739
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 727-739
    • Byrd, R.H.1    Nocedal, J.2
  • 17
    • 0023427318 scopus 로고
    • Global convergence of a class of quasi-Newton methods on convex problems
    • Byrd R.H., Nocedal J., and Yuan Y. Global convergence of a class of quasi-Newton methods on convex problems. SIAM J. Numer. Anal. 24 (1987) 1171-1189
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 1171-1189
    • Byrd, R.H.1    Nocedal, J.2    Yuan, Y.3
  • 18
    • 0042659410 scopus 로고    scopus 로고
    • Convergence properties of the BFGS algorithm
    • Dai Y.H. Convergence properties of the BFGS algorithm. SIAM J. Optim. 13 (2002) 693-701
    • (2002) SIAM J. Optim. , vol.13 , pp. 693-701
    • Dai, Y.H.1
  • 19
    • 21044434499 scopus 로고    scopus 로고
    • The BFGS method with exact line search fails for non-convex objective functions
    • Mascarenhas W.F. The BFGS method with exact line search fails for non-convex objective functions. Math. Program. 99 (2004) 49-61
    • (2004) Math. Program. , vol.99 , pp. 49-61
    • Mascarenhas, W.F.1
  • 20
    • 0035301251 scopus 로고    scopus 로고
    • A modified BFGS method and its global convergence in nonconvex minimization
    • Li D.H., and Fukushima M. A modified BFGS method and its global convergence in nonconvex minimization. J. Comput. Appl. Math. 129 (2001) 15-35
    • (2001) J. Comput. Appl. Math. , vol.129 , pp. 15-35
    • Li, D.H.1    Fukushima, M.2
  • 21
    • 0035646690 scopus 로고    scopus 로고
    • On the global convergence of the BFGS methods for nonconvex unconstrained optimization problems
    • 1054-164
    • Li D.H., and Fukushima M. On the global convergence of the BFGS methods for nonconvex unconstrained optimization problems. SIAM J. Optim. 11 (2001) 1054-164
    • (2001) SIAM J. Optim. , vol.11
    • Li, D.H.1    Fukushima, M.2
  • 22
    • 0000024679 scopus 로고
    • CUTE: Constrained and unconstrained testing environment
    • Conn A.R., Gouldc N.I.M., and Toint Ph.L. CUTE: Constrained and unconstrained testing environment. ACM Trans. Math. Softw. 21 (1995) 123-160
    • (1995) ACM Trans. Math. Softw. , vol.21 , pp. 123-160
    • Conn, A.R.1    Gouldc, N.I.M.2    Toint, Ph.L.3
  • 23
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking optimization software with performance profiles
    • Dolan E.D., and Moré J.J. Benchmarking optimization software with performance profiles. Math. Program. 91 (2002) 201-213
    • (2002) Math. Program. , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moré, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.