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Volumn 102, Issue 2-3, 1999, Pages 257-272

A generalization of the norm-relaxed method of feasible directions

Author keywords

Directions finding subproblem (DFS); Global convergence; Method of feasible directions (MFD); Nonlinear programming (NLP); Structural optimization

Indexed keywords


EID: 0040143446     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10025-5     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0002720048 scopus 로고
    • An optimization algorithm based on the method of feasible directions
    • Belegundu A.D., Berke L., Patnaik S.N. An optimization algorithm based on the method of feasible directions. Struct. Optimiz. 9:1995;83-88.
    • (1995) Struct. Optimiz. , vol.9 , pp. 83-88
    • Belegundu, A.D.1    Berke, L.2    Patnaik, S.N.3
  • 3
    • 0021526586 scopus 로고
    • Efficient feasible directions algorithm for design synthesis
    • Vanderplaats G.N. Efficient feasible directions algorithm for design synthesis. AIAA J. 22:1984;1633-1640.
    • (1984) AIAA J. , vol.22 , pp. 1633-1640
    • Vanderplaats, G.N.1
  • 7
    • 25644436689 scopus 로고
    • On the convergence of gradient methods under constraints
    • Yorktown Heights, New York
    • P. Wolfe, On the convergence of gradient methods under constraints, IBM Research Report RC 1752, Yorktown Heights, New York, 1967.
    • (1967) IBM Research Report RC 1752
    • Wolfe, P.1
  • 8
    • 0001555742 scopus 로고
    • On the convergence of some feasible direction algorithms for nonlinear programming
    • Topkis D.M., Veinott A.F. On the convergence of some feasible direction algorithms for nonlinear programming. SIAM J. Control. 5:1967;268-279.
    • (1967) SIAM J. Control , vol.5 , pp. 268-279
    • Topkis, D.M.1    Veinott, A.F.2
  • 9
    • 0000986821 scopus 로고
    • On the rate of convergence of certain methods of centers
    • Pironneau O., Polak E. On the rate of convergence of certain methods of centers. Math. Program. 2:1972;230-257.
    • (1972) Math. Program. , vol.2 , pp. 230-257
    • Pironneau, O.1    Polak, E.2
  • 10
    • 0002364867 scopus 로고
    • Rate of convergence of a class of methods of feasible directions
    • Pironneau O., Polak E. Rate of convergence of a class of methods of feasible directions. SIAM J. Num. Anal. 10:1973;161-173.
    • (1973) SIAM J. Num. Anal. , vol.10 , pp. 161-173
    • Pironneau, O.1    Polak, E.2
  • 11
    • 0017022027 scopus 로고
    • On the Pironneau-Polak method of centers
    • Chaney R.W. On the Pironneau-Polak method of centers. J. Optimiz. Theory Applications. 20:1976;269-295.
    • (1976) J. Optimiz. Theory Applications , vol.20 , pp. 269-295
    • Chaney, R.W.1
  • 12
    • 0017017222 scopus 로고
    • On the rate of convergence of some feasible direction algorithm
    • Chaney R.W. On the rate of convergence of some feasible direction algorithm. J. Optimiz. Theory Applications. 20:1976;297-313.
    • (1976) J. Optimiz. Theory Applications , vol.20 , pp. 297-313
    • Chaney, R.W.1
  • 13
    • 0004594843 scopus 로고
    • A generalized quadratic programming-based phase I-phase II method for inequality constrained optimization
    • Wiest E.J., Polak E. A generalized quadratic programming-based phase I-phase II method for inequality constrained optimization. J. Appl. Math. and Optimiz. 26:1992;223-252.
    • (1992) J. Appl. Math. and Optimiz. , vol.26 , pp. 223-252
    • Wiest, E.J.1    Polak, E.2
  • 14
    • 0018494114 scopus 로고
    • Combined phase I-phase II methods of feasible directions
    • Polak E., Trahan R., Mayne D.Q. Combined phase I-phase II methods of feasible directions. Math. Program. 17:1979;61-73.
    • (1979) Math. Program. , vol.17 , pp. 61-73
    • Polak, E.1    Trahan, R.2    Mayne, D.Q.3
  • 15
    • 0022789973 scopus 로고
    • A two-stage feasible directions algorithm for nonlinear constrained optimization
    • Herskovits J.N. A two-stage feasible directions algorithm for nonlinear constrained optimization. Math. Program. 36:1986;19-38.
    • (1986) Math. Program. , vol.36 , pp. 19-38
    • Herskovits, J.N.1
  • 16
    • 0028540063 scopus 로고
    • Norm-relaxed method of feasible directions for solving nonlinear programming problems
    • Cawood M.E., Kostreva M.M. Norm-relaxed method of feasible directions for solving nonlinear programming problems. J. Optimiz. Theory Applications. 83:1994;311-320.
    • (1994) J. Optimiz. Theory Applications , vol.83 , pp. 311-320
    • Cawood, M.E.1    Kostreva, M.M.2
  • 17
    • 0002257018 scopus 로고
    • Ph.D. Dissertation, Department of Mathematical Sciences, Clemson University
    • J.A. Korycki, Norm-relaxed method of feasible directions, Ph.D. Dissertation, Department of Mathematical Sciences, Clemson University (1995).
    • (1995) Norm-relaxed Method of Feasible Directions
    • Korycki, J.A.1
  • 18
    • 0030508578 scopus 로고    scopus 로고
    • Convergence analysis of norm-relaxed method of feasible directions
    • Korycki J.A., Kostreva M.M. Convergence analysis of norm-relaxed method of feasible directions. J. Optimiz. Theory Applications. 91:1996;389-418.
    • (1996) J. Optimiz. Theory Applications , vol.91 , pp. 389-418
    • Korycki, J.A.1    Kostreva, M.M.2
  • 19
    • 0030166155 scopus 로고    scopus 로고
    • Norm-relaxed method of feasible directions: Application in structural optimization
    • Korycki J.A., Kostreva M.M. Norm-relaxed method of feasible directions: Application in structural optimization. Struct. Optimiz. 11:1996;187-194.
    • (1996) Struct. Optimiz. , vol.11 , pp. 187-194
    • Korycki, J.A.1    Kostreva, M.M.2
  • 21
    • 0002110483 scopus 로고
    • Generalization of Murty's direct algorithm to linear and convex quadratic programming
    • Kostreva M.M. Generalization of Murty's direct algorithm to linear and convex quadratic programming. J. Optimiz. Theory Applications. 62:1989;63-76.
    • (1989) J. Optimiz. Theory Applications , vol.62 , pp. 63-76
    • Kostreva, M.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.