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Rockafellar, R. Tyrrell

A dual approach to solving nonlinear programming problems by unconstrained optimization. (English) Zbl 0279.90035

Math. Program. 5, 354-373 (1973).
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Cited in 2 Reviews
Cited in 105 Documents

MSC:

90C30 Nonlinear programming
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\textit{R. T. Rockafellar}, Math. Program. 5, 354--373 (1973; Zbl 0279.90035)
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[1] K.J. Arrow and R.M. Solow, ”Gradient methods for constrained maxima, with weakened assumptions”, in:Studies in linear and nonlinear programming, Eds. K. Arrow, L. Hurwicz and H. Uzawa (Stanford Univ. Press, Stanford, Calif., 1958).
[2] K.J. Arrow, F.J. Gould and S.M. Howe, ”A general saddle point result for constrained optimization”, Institute of Statistics Mimeo Series No. 774, Dept. of Statistics, Univ. of North Carolina, Chapel Hill, N.C., (1971). · Zbl 0276.90055
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[7] E.G. Golshtein,Theory of Convex Programming, AMS Translation Series (1972).
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[12] P.J. Laurent,Approximation et Optimisation (Hermann, Paris, 1972). · Zbl 0238.90058
[13] A. Miele, E.E. Cragg, R.R. Iver and A.V. Levy, ”Use of the augmented penalty function in mathematical programming problems, part I”,Journal of Optimization Theory and Applications 8 (1971) 115–130. · Zbl 0215.59102
[14] A. Miele, E.E. Cragg and A.V. Levy, ”Use of the augmented penalty function in mathematical programming problems”, part II,Journal of Optimization Theory and Applications 8 (1971) 131–153. · Zbl 0215.59103
[15] A. Miele, P.E. Moseley and E.E. Cragg, ”A modification of the method of multipliers for mathematical programming problems”, in:Techniques of optimization, Ed. A.V. Balakrishnan (Academic Press, New York, 1972) pp. 247–260. · Zbl 0269.49042
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[17] M.J.D. Powell, ”A method for nonlinear constraints in minimization problems”, in:Optimization, Ed. R. Fletcher (Academic Press, New York, 1969) pp. 283–298. · Zbl 0194.47701
[18] R.T. Rockafellar, ”Convex functions and duality in optimization problems and dynamics”, in:Mathematical systems theory and economics, I, Eds. H.W. Kuhn and G.P. Szegö (Springer, Berlin, 1969) pp. 117–141.
[19] R.T. Rockafellar,Convex Analysis (Princeton Univ. Press, Princeton, N.J., 1970). · Zbl 0193.18401
[20] R.T. Rockafellar, ”Ordinary convex programs without a duality gap”,Journal of Optimization Theory and Applications 7 (1971) 143–148. · Zbl 0198.24604
[21] R.T. Rockafellar, ”New applications of duality in convex programming”, written version of talk presented at the Seventh International Symposium on Mathematical Programming, The Hague, 1970, and elsewhere; in:Proceedings of the fourth conference on probability theory, Brasov, Romania, 1971 (Editura Academici Republicii Socialiste Romania, Bucharest, 1973) pp. 73–81.
[22] R.T. Rockafellar, ”The multiplier method of Hestenes and Powell applied to convex programming”,Journal of Optimization Theory and Applications 12 (6) (1973). · Zbl 0254.90045
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