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Titlebook: Optimality and Stability in Mathematical Programming; Monique Guignard Book 1982Latest edition Springer-Verlag Berlin Heidelberg 1982 Math

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樓主: Bush
21#
發(fā)表于 2025-3-25 04:11:05 | 只看該作者
Optimality in convex programming: A feasible directions approach,First-order optimality conditions for convex programming are developed using a feasible directions approach. Numerical implementations and applications are discussed. The concepts of constancy directions and minimal index set of binding constraints, central to our theory, prove useful also in studying the stability of perturbed convex programs.
22#
發(fā)表于 2025-3-25 07:47:42 | 只看該作者
23#
發(fā)表于 2025-3-25 12:15:39 | 只看該作者
A unified theory of first and second order conditions for extremum problems in topological vector snditions of first and second order, with or without differentiability assumptions, are derived for special cases of the general problem (P). Classical results are refined and new ones are added. Second order sufficient condition, under differentiability assumptions, are derived as well.
24#
發(fā)表于 2025-3-25 16:43:47 | 只看該作者
Characterizations of optimality without constraint qualification for the abstract convex program, a closed convex cone and . and . are topological linear spaces. We present primal and dual characterizations for (P). These characterizations are derived by reducing the problem to a standard Lagrange multiplier problem. Examples given include operator constrained problems as well as semi-infinite programming problems.
25#
發(fā)表于 2025-3-25 20:19:00 | 只看該作者
Refinements of necessary optimality conditions in nondifferentiable programming II,ondifferentiable data. The relative generalized Jacobian matrix of a locally Lipschitz function and the normal subcone to a set defined by equalities are the principal concepts upon which our study is based.
26#
發(fā)表于 2025-3-26 03:00:16 | 只看該作者
27#
發(fā)表于 2025-3-26 06:54:13 | 只看該作者
28#
發(fā)表于 2025-3-26 10:24:44 | 只看該作者
Mathematical Programming Studieshttp://image.papertrans.cn/o/image/703023.jpg
29#
發(fā)表于 2025-3-26 15:46:25 | 只看該作者
30#
發(fā)表于 2025-3-26 18:49:32 | 只看該作者
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