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Volumn 85, Issue 2, 1999, Pages 433-438

A note on the convergence of barrier algorithms to second-order necessary points

Author keywords

Barrier algorithms; Constrained optimization; Second order points

Indexed keywords


EID: 0037572858     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070050066     Document Type: Article
Times cited : (21)

References (21)
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  • 3
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    • Bonnans, J.F.1    Launay, G.2
  • 4
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    • Necessary and sufficient conditions for quadratic minimality
    • Borwein, J.M. (1982): Necessary and sufficient conditions for quadratic minimality. Numer. Funct. Anal. Optim. 5, 127-140
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    • Borwein, J.M.1
  • 5
    • 0001229486 scopus 로고
    • Une caractérisation complète des minima locaux en programmation quadratique
    • Contesse, L.B. (1980): Une caractérisation complète des minima locaux en programmation quadratique. Numer. Math. 34, 315-332
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  • 6
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    • Convergence to second order stationary points in inequality constrained optimization
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  • 10
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    • A Trust Region Approach to Linearly Constrained Optimization
    • Griffiths, D.F., ed., Numerical Analysis: Proceedings Dundee 1983, Springer, Berlin
    • Gay, D.M. (1984): A Trust Region Approach to Linearly Constrained Optimization. In: Griffiths, D.F., ed., Numerical Analysis: Proceedings Dundee 1983, pp.72-105, Lect. Notes Math. 1066. Springer, Berlin
    • (1984) Lect. Notes Math. , vol.1066 , pp. 72-105
    • Gay, D.M.1
  • 12
    • 4444383938 scopus 로고
    • Geometry of optimality conditions and constraint qualifications
    • Gould, F.J., Tolle, J.W. (1972): Geometry of optimality conditions and constraint qualifications. Math. Program. 2(1), 1-18
    • (1972) Math. Program. , vol.2 , Issue.1 , pp. 1-18
    • Gould, F.J.1    Tolle, J.W.2
  • 14
    • 0000149118 scopus 로고
    • A modification of Armijo's step-size rule for negative curvature
    • McCormick, G.P. (1977): A modification of Armijo's step-size rule for negative curvature. Math. Program. 13(1), 111-115
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  • 15
    • 0003162836 scopus 로고
    • Recent Developments in Algorithms and Software for Trust Region Methods
    • Bachern, A., Grötschel, M., Korte, B., eds., Springer, Berlin
    • Moré, J.J. (1983): Recent Developments in Algorithms and Software for Trust Region Methods. In: Bachern, A., Grötschel, M., Korte, B., eds., Mathematical Programming, The State of the Art, pp. 258-287. Springer, Berlin
    • (1983) Mathematical Programming, the State of the Art , pp. 258-287
    • Moré, J.J.1
  • 16
    • 0001818862 scopus 로고
    • On the use of directions of negative curvature in a modified Newton method
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  • 17
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    • Some NP-complete problems in quadratic and nonlinear programming
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  • 18
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.