Second- and higher-order duality in nonlinear programming☆
作者： O.L Mangasarian
DOI: 10.1016/0022-247X(75)90111-0
关键词: Nonlinear programming 、 Wolfe duality 、 Mathematics 、 Weak duality 、 Strong duality 、 Duality gap 、 Duality (optimization) 、 Algebra 、 Perturbation function 、 Second derivative 、 Mathematical optimization
摘要: … for the weak duality and duality theorems to hold. Instead we shall give a limited version of the duality theorem and a full version of the converse duality theorem. The limitation of the …
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B. D. Craven, B. Mond, Technical Note—On Converse Duality in Nonlinear Programming Operations Research. ,vol. 19, pp. 1075- 1078 ,(1971) , 10.1287/OPRE.19.4.1075
Stephen M. Robinson, A quadratically-convergent algorithm for general nonlinear programming problems Mathematical Programming. ,vol. 3-3, pp. 145- 156 ,(1972) , 10.1007/BF01584986
Anthony V. Fiacco, Garth P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques ,(1968)
S. M. Sinha, A Duality Theorem for Nonlinear Programming Management Science. ,vol. 12, pp. 385- 390 ,(1966) , 10.1287/MNSC.12.5.385
Olvi L. Mangasarian, Nonlinear Programming ,(1969)
O.L Mangasarian, S Fromovitz, The Fritz John Necessary Optimality Conditions in the Presence of Equality and Inequality Constraints Journal of Mathematical Analysis and Applications. ,vol. 17, pp. 37- 47 ,(1967) , 10.1016/0022-247X(67)90163-1
Philip Wolfe, A duality theorem for non-linear programming Quarterly of Applied Mathematics. ,vol. 19, pp. 239- 244 ,(1961) , 10.1090/QAM/135625