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Volumn 88, Issue 3, 2000, Pages 565-574

Failure of global convergence for a class of interior point methods for nonlinear programming

Author keywords

Global convergence; Interior point methods; Newton's method; Nonlinear optimization

Indexed keywords


EID: 0000892372     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00011386     Document Type: Article
Times cited : (76)

References (12)
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    • Byrd, R.H., Gilbert, J.Ch., Nocedal, J. (1996): A trust region method based on interior point techniques for nonlinear programming. Technical Report OTC 96/02, Optimization Technology Center, Northwestern University, Evanston, IL, USA. Revised August 1998
    • (1996) Technical Report OTC 96/02
    • Byrd, R.H.1    Gilbert, J.Ch.2    Nocedal, J.3
  • 2
    • 0033471382 scopus 로고    scopus 로고
    • An interior point algorithm for large-scale nonlinear programming
    • Byrd, R.H., Hribar, M.E., Nocedal, J. (1999): An interior point algorithm for large-scale nonlinear programming. SIAM J. Optim. 9, 877-900
    • (1999) SIAM J. Optim. , vol.9 , pp. 877-900
    • Byrd, R.H.1    Hribar, M.E.2    Nocedal, J.3
  • 3
    • 0034599835 scopus 로고    scopus 로고
    • A reduced space interior point strategy for optimization of differential algebraic systems
    • Cervantes, A.M., Wächter, A., Tütüncü, R.H., Biegler, L.T. (2000): A reduced space interior point strategy for optimization of differential algebraic systems. Comput. Chem. Eng. 24, 39-51
    • (2000) Comput. Chem. Eng. , vol.24 , pp. 39-51
    • Cervantes, A.M.1    Wächter, A.2    Tütüncü, R.H.3    Biegler, L.T.4
  • 4
    • 0030541525 scopus 로고    scopus 로고
    • On the formulation and theory of the Newton interior-point method for nonlinear programming
    • El-Bakry, A.S., Tapia, R.A., 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.S.1    Tapia, R.A.2    Tsuchiya, T.3    Zhang, Y.4
  • 6
    • 0032358968 scopus 로고    scopus 로고
    • Primal-dual interior methods for nonconvex nonlinear programming
    • Forsgren, A., Gill, P.E. (1998): Primal-dual interior methods for nonconvex nonlinear programming. SIAM J. Optim. 8, 1132-1152
    • (1998) SIAM J. Optim. , vol.8 , pp. 1132-1152
    • Forsgren, A.1    Gill, P.E.2
  • 7
    • 0002688960 scopus 로고    scopus 로고
    • A primal-dual interior method for nonconvex nonlinear programming
    • Yuan, Y., ed., Kluwer Academic Publishers, Dordrecht
    • Gay, D.M., Overton, M.L., Wright, M.H. (1998): A primal-dual interior method for nonconvex nonlinear programming. In: Yuan, Y., ed., Advances in Nonlinear Programming. Kluwer Academic Publishers, Dordrecht, pp. 31-56
    • (1998) Advances in Nonlinear Programming , pp. 31-56
    • Gay, D.M.1    Overton, M.L.2    Wright, M.H.3
  • 8
    • 0002267248 scopus 로고
    • A barrier method for large-scale constrained optimization
    • Nash, S.G., Sofer, A. (1993): A barrier method for large-scale constrained optimization. ORSA J. Comput. 5, 40-53
    • (1993) ORSA J. Comput. , vol.5 , pp. 40-53
    • Nash, S.G.1    Sofer, A.2
  • 9
    • 0002207938 scopus 로고
    • A fast algorithm for nonlinearly constrained optimization calculations
    • Watson, G.A., ed., Numerical Analysis, Dundee Springer, Berlin
    • Powell, M.J.D. (1978): A fast algorithm for nonlinearly constrained optimization calculations. In: Watson, G.A., ed., Numerical Analysis, Dundee 1977. Vol. 630 of Lect. Notes Math., Springer, Berlin
    • (1977) Lect. Notes Math. , vol.630
    • Powell, M.J.D.1
  • 10
    • 0000287204 scopus 로고    scopus 로고
    • An interior-point algorithm for nonconvex nonlinear programming
    • Vanderbei, R.J., Shanno, D.F. (1999): An interior-point algorithm for nonconvex nonlinear programming. Comput. Optim. Appl. 13, 231-252
    • (1999) Comput. Optim. Appl. , vol.13 , pp. 231-252
    • Vanderbei, R.J.1    Shanno, D.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.