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Volumn 87, Issue 2, 2000, Pages 303-316

Interior-point methods for nonconvex nonlinear programming: Orderings and higher-order methods

Author keywords

Interior point methods; Matrix ordering; Nonconvex optimization; Nonlinear programming; Predictor corrector

Indexed keywords


EID: 29044447101     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070050116     Document Type: Article
Times cited : (73)

References (16)
  • 1
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    • Adler, I.1    Karmarkar, N.K.2    Resende, M.G.C.3    Veiga, G.4
  • 3
    • 0000255333 scopus 로고
    • Higher order predictor-corrector interior point methods with application to quadratic objectives
    • Carpenter, T.J., Lustig, I.J., Mulvey, J.M., Shanno, D.F. (1993): Higher order predictor-corrector interior point methods with application to quadratic objectives. SIAM J. Optim. 3, 696-725
    • (1993) SIAM J. Optim. , vol.3 , pp. 696-725
    • Carpenter, T.J.1    Lustig, I.J.2    Mulvey, J.M.3    Shanno, D.F.4
  • 5
    • 0030541525 scopus 로고    scopus 로고
    • On the formulation and theory of the Newton interior-point method for nonlinear programming
    • El-Bakry, A., Tapia, R., Tsuchiya, T., Zhang, Y. (1996): On the formulation and theory of the Newton interior-point method for nonlinear programming. J. Optim. Theory Appl. 89, 507-541
    • (1996) J. Optim. Theory Appl. , vol.89 , pp. 507-541
    • El-Bakry, A.1    Tapia, R.2    Tsuchiya, T.3    Zhang, Y.4
  • 8
    • 0030242781 scopus 로고    scopus 로고
    • Multiple centrality corrections in a primal dual method for linear programming
    • Gondzio, J. (1996): Multiple centrality corrections in a primal dual method for linear programming. Comput. Optim. Appl. 6, 137-156
    • (1996) Comput. Optim. Appl. , vol.6 , pp. 137-156
    • Gondzio, J.1
  • 11
    • 0000561116 scopus 로고
    • On the implementation of a (primal-dual) interior point method
    • Mehrotra, S. (1992): On the implementation of a (primal-dual) interior point method. SIAM J. Optim. 2, 575-601
    • (1992) SIAM J. Optim. , vol.2 , pp. 575-601
    • Mehrotra, S.1
  • 12
    • 0005223906 scopus 로고    scopus 로고
    • Interior-point methods for linear and nonlinear programming
    • Duff, I.S., Watson, G.A., eds., Oxford University Press, New York
    • Shanno, D.F., Simantiraki, E.M. (1997): Interior-point methods for linear and nonlinear programming. In: Duff, I.S., Watson, G.A., eds., The State of the Art in Numerical Analysis, pp. 339-362. Oxford University Press, New York
    • (1997) The State of the Art in Numerical Analysis , pp. 339-362
    • Shanno, D.F.1    Simantiraki, E.M.2
  • 14
    • 0002090173 scopus 로고
    • Symmetric quasi-definite matrices
    • Vanderbei, R.J. (1995): Symmetric quasi-definite matrices. SIAM J. Optim. 5, 100-113
    • (1995) SIAM J. Optim. , vol.5 , pp. 100-113
    • Vanderbei, R.J.1
  • 15
    • 0033293912 scopus 로고    scopus 로고
    • LOQO: An interior point code for quadratic programming
    • to appear
    • Vanderbei, R.J. (1999): LOQO: An interior point code for quadratic programming. Optim. Methods Software, to appear
    • (1999) Optim. Methods Software
    • Vanderbei, R.J.1
  • 16
    • 0000287204 scopus 로고    scopus 로고
    • An interior-point algorithm for nonconvex nonlinear programming. Comput
    • Vanderbei, R.J., Shanno, D.F. (1999): An interior-point algorithm for nonconvex nonlinear programming. Comput. Optim. Appl. 13, 231-252
    • (1999) Optim. Appl. , vol.13 , pp. 231-252
    • Vanderbei, R.J.1    Shanno, D.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.