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Volumn 21, Issue 1, 1999, Pages 1-23

Subspace, interior, and conjugate gradient method for large-scale bound-constrained minimization problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 0033296256     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827595289108     Document Type: Article
Times cited : (844)

References (20)
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    • Coleman, T.F.1    Li, Y.2
  • 2
    • 34249771074 scopus 로고
    • On the convergence of reflective Newton methods for large-scale nonlinear minimization subject to bounds
    • T. F. COLEMAN AND Y. LI, On the convergence of reflective Newton methods for large-scale nonlinear minimization subject to bounds, Math. Programming, 67 (1994), pp. 189-224.
    • (1994) Math. Programming , vol.67 , pp. 189-224
    • Coleman, T.F.1    Li, Y.2
  • 3
    • 0030493826 scopus 로고    scopus 로고
    • A reflective Newton method for minimizing a quadratic function subject to bounds on some of the variables
    • T. F. COLEMAN AND Y. LI, A reflective Newton method for minimizing a quadratic function subject to bounds on some of the variables, SIAM J. Optim., 6 (1996), pp. 1040-1058.
    • (1996) SIAM J. Optim. , vol.6 , pp. 1040-1058
    • Coleman, T.F.1    Li, Y.2
  • 6
    • 0000305846 scopus 로고
    • The conjugate gradient method and trust regions in large scale optimization
    • T. STEIHAUG, The conjugate gradient method and trust regions in large scale optimization, SIAM J. Numer. Anal., 20 (1983), pp. 626-637.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 626-637
    • Steihaug, T.1
  • 9
    • 0001031964 scopus 로고
    • Iterative solution of problems of linear and quadratic programming
    • I. I. DIKIN, Iterative solution of problems of linear and quadratic programming, Dokl. Akad. Nauk SSSR, 174 (1967), pp. 747-748.
    • (1967) Dokl. Akad. Nauk Sssr , vol.174 , pp. 747-748
    • Dikin, I.I.1
  • 12
    • 0343088210 scopus 로고
    • Large-scale numerical optimization: Introduction and overview
    • A. Kent and J. G. Williams, eds., Marcel Dekker, New York
    • T. F. COLEMAN, Large-scale numerical optimization: Introduction and overview, in Encyclopedia of Computer Science and Technology, A. Kent and J. G. Williams, eds., Marcel Dekker, New York, 1993, pp. 167-195.
    • (1993) Encyclopedia of Computer Science and Technology , pp. 167-195
    • Coleman, T.F.1
  • 13
    • 0022015590 scopus 로고
    • A family of trust-region-based algorithms for unconstrained minimization with strong global convergence properties
    • G. A. SHULTZ, R. B. SCHNABEL, AND R. H. BYRD, A family of trust-region-based algorithms for unconstrained minimization with strong global convergence properties, SIAM J. Numer. Anal., 22 (1985), pp. 47-67.
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 47-67
    • Shultz, G.A.1    Schnabel, R.B.2    Byrd, R.H.3
  • 14
    • 34250095268 scopus 로고
    • Approximate solution of the trust region problem by minimization over two-dimensional subspaces
    • R. H. BYRD, R. B. SCHNABEL, AND G. A. SHULTZ, Approximate solution of the trust region problem by minimization over two-dimensional subspaces, Math. Programming, 40 (1988), pp. 247-263.
    • (1988) Math. Programming , vol.40 , pp. 247-263
    • Byrd, R.H.1    Schnabel, R.B.2    Shultz, G.A.3
  • 15
  • 18
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  • 19
    • 84966215545 scopus 로고
    • Testing a class of methods for solving minimization problems with simple bounds on the variables
    • A. R. CONN, N. I. M. GOULD, AND P. L. TOINT, Testing a class of methods for solving minimization problems with simple bounds on the variables, Math. Comput., 50 (1988), pp. 399-430.
    • (1988) Math. Comput. , vol.50 , pp. 399-430
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.