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Volumn 155, Issue 2, 2003, Pages 285-305

Nonmonotonic back-tracking trust region interior point algorithm for linear constrained optimization

Author keywords

Back tracking; Interior points; Nonmonotonic technique; Trust region methods

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; OPTIMIZATION;

EID: 0037532534     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00870-1     Document Type: Article
Times cited : (12)

References (13)
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    • Combining trust region and affine scaling for linearly constrained nonconvex minimization
    • Y. Yuan (Ed.), Dordrecht: Kluwer Academic Publishers
    • Bonnans F. Coleman T. Combining trust region and affine scaling for linearly constrained nonconvex minimization Yuan Y. Advances in Nonlinear Programming 1998 219 250 Kluwer Academic Publishers Dordrecht
    • (1998) Advances in Nonlinear Programming , pp. 219-250
    • Bonnans, F.1    Coleman, T.2
  • 2
    • 0031285895 scopus 로고    scopus 로고
    • A trust region interior point algorithm for linear constrained optimization
    • Bonnans J.F. Pola C. A trust region interior point algorithm for linear constrained optimization SIAM J. Optim. 7 3 1997 717-731
    • (1997) SIAM J. Optim. , vol.7 , Issue.3 , pp. 717-731
    • Bonnans, J.F.1    Pola, C.2
  • 5
    • 0031285677 scopus 로고    scopus 로고
    • On the convergence theory of trust-region-based algorithms for equality-constrained optimization
    • Dennis J.E. Vicente L.N. On the convergence theory of trust-region-based algorithms for equality-constrained optimization SIAM J. Optim. 7 1997 527-550
    • (1997) SIAM J. Optim. , vol.7 , pp. 527-550
    • Dennis, J.E.1    Vicente, L.N.2
  • 6
    • 0022766519 scopus 로고
    • A nonmonotonic line-search technique for Newton's methods
    • Grippo L. Lampariello F. Lucidi S. A nonmonotonic line-search technique for Newton's methods 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
  • 9
    • 0002468725 scopus 로고    scopus 로고
    • Combining trust region and line-search techniques
    • Y. Yuan (Ed.), Dordrecht: Kluwer
    • Nocedal J. Yuan Y. Combining trust region and line-search techniques Yuan Y. Advances in Nonlinear Programming 1998 153-175 Kluwer Dordrecht
    • (1998) Advances in Nonlinear Programming , pp. 153-175
    • Nocedal, J.1    Yuan, Y.2
  • 11
    • 0001382978 scopus 로고
    • Newton's method with a model trust region modification
    • Sorensen D.C. Newton's method with a model trust region modification SIAM J. Numer. Anal. 19 1982 409-426
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 409-426
    • Sorensen, D.C.1
  • 12
    • 0024683802 scopus 로고
    • An extension of Karmarkar's projective algorithm for convex quadratic programming
    • Ye Y. Tse E. An extension of Karmarkar's projective algorithm for convex quadratic programming Math. Programming 44 1989 157-179
    • (1989) Math. Programming , vol.44 , pp. 157-179
    • Ye, Y.1    Tse, E.2
  • 13
    • 0035329476 scopus 로고    scopus 로고
    • Curvilinear paths and trust region methods with nonmonotonic back tracking technique for unconstrained optimization
    • Zhu D. Curvilinear paths and trust region methods with nonmonotonic back tracking technique for unconstrained optimization J. Comput. Math. 19 2001 241-258
    • (2001) J. Comput. Math. , vol.19 , pp. 241-258
    • Zhu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.