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Volumn 7, Issue 1, 1997, Pages 71-87

Numerical Experiences with New Truncated Newton Methods in Large Scale Unconstrained Optimization

Author keywords

Curvilinear linesearch; Lanczos method; Large scale unconstrained optimization; Negative curvature direction; Truncated Newton methods

Indexed keywords

ALGORITHMS; MATHEMATICAL TECHNIQUES; NUMERICAL ANALYSIS; NUMERICAL METHODS;

EID: 0030672155     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008619812615     Document Type: Article
Times cited : (10)

References (23)
  • 5
    • 0020763823 scopus 로고
    • Truncated-Newton methods algorithms for large-scale unconstrained optimization
    • R. Dembo and T. Steihaug. Truncated-Newton methods algorithms for large-scale unconstrained optimization. Mathematical Programming, 26:190-212, 1983.
    • (1983) Mathematical Programming , vol.26 , pp. 190-212
    • Dembo, R.1    Steihaug, T.2
  • 7
    • 0030243966 scopus 로고    scopus 로고
    • Nonmonotone curvilinear linesearch methods for unconstrained optimization
    • M. Ferris, S. Lucidi, and M. Roma. Nonmonotone curvilinear linesearch methods for unconstrained optimization. Computational Optimization and Applications, 6: 117-136, 1996.
    • (1996) Computational Optimization and Applications , vol.6 , pp. 117-136
    • Ferris, M.1    Lucidi, S.2    Roma, M.3
  • 10
    • 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. Numerische Mathematik, 59:779-805, 1991.
    • (1991) Numerische Mathematik , vol.59 , pp. 779-805
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 13
    • 0000149118 scopus 로고
    • A modification of Armijo's step-size rule for negative curvature
    • G. McCormick. A modification of Armijo's step-size rule for negative curvature. Mathematical Programming, 13:111-115, 1977.
    • (1977) Mathematical Programming , vol.13 , pp. 111-115
    • McCormick, G.1
  • 14
    • 0001818862 scopus 로고
    • On the use of directions of negative curvature in a modified Newton method
    • J. Moré and D. Sorensen. On the use of directions of negative curvature in a modified Newton method. Mathematical Programming, 16:1-20, 1979.
    • (1979) Mathematical Programming , vol.16 , pp. 1-20
    • Moré, J.1    Sorensen, D.2
  • 15
    • 0021481124 scopus 로고
    • Newton-type minimization via Lanczos method
    • S. Nash. Newton-type minimization via Lanczos method. SIAM Journal on Numerical Analysis, 21:770-788, 1984.
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 770-788
    • Nash, S.1
  • 16
    • 0001684438 scopus 로고
    • A numerical study of the limited memory BFGS method and the truncated-Newton method for large scale optimization
    • S. Nash and J. Nocedal. A numerical study of the limited memory BFGS method and the truncated-Newton method for large scale optimization. SIAM Journal on Optimization, 1:358-372, 1991.
    • (1991) SIAM Journal on Optimization , vol.1 , pp. 358-372
    • Nash, S.1    Nocedal, J.2
  • 17
    • 0016555955 scopus 로고
    • Solution of sparse indefinite systems of linear equations
    • C. Paige and M. Saunders. Solution of sparse indefinite systems of linear equations. SIAM Journal on Numerical Analysis, 12:617-629, 1975.
    • (1975) SIAM Journal on Numerical Analysis , vol.12 , pp. 617-629
    • Paige, C.1    Saunders, M.2
  • 18
    • 0003668665 scopus 로고
    • Prentice-Hall series in Computational Mathematics, Englewood Cliffs
    • B. Parlett. The symmetric eigenvalue problem. Prentice-Hall series in Computational Mathematics, Englewood Cliffs, 1980.
    • (1980) The Symmetric Eigenvalue Problem
    • Parlett, B.1
  • 19
    • 0026824139 scopus 로고
    • TNPACK - A truncated Newton package for large-scale problems: I. algorithm and usage
    • T. Schlick and A. Fogelson. TNPACK - A truncated Newton package for large-scale problems: I. algorithm and usage. ACM Transaction on Mathematical Software, 18:46-70, 1992.
    • (1992) ACM Transaction on Mathematical Software , vol.18 , pp. 46-70
    • Schlick, T.1    Fogelson, A.2
  • 20
    • 0022015590 scopus 로고
    • A family of trust-region-based algorithms for unconstrained minimization
    • G. Shultz, R. Schnabel, and R. Byrd. A family of trust-region-based algorithms for unconstrained minimization. SIAM Journal on Numerical Analysis, 22:47-67, 1985.
    • (1985) SIAM Journal on Numerical Analysis , vol.22 , pp. 47-67
    • Shultz, G.1    Schnabel, R.2    Byrd, R.3
  • 21
    • 0001019976 scopus 로고    scopus 로고
    • An assesment of non-monotone linesearch techniques for unconstrained optimization
    • P. Toint. An assesment of non-monotone linesearch techniques for unconstrained optimization. SIAM Journal of Scientific Computing, 17: 725-739, 1996.
    • (1996) SIAM Journal of Scientific Computing , vol.17 , pp. 725-739
    • Toint, P.1
  • 23
    • 0038821467 scopus 로고
    • Nonmonotone trust region methods with curvilinear path in unconstrained minimization
    • Y. Xiao and F. Zhou. Nonmonotone trust region methods with curvilinear path in unconstrained minimization. Computing, 48:303-317, 1992.
    • (1992) Computing , vol.48 , pp. 303-317
    • Xiao, Y.1    Zhou, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.