NECESSARY AND SUFFICIENT CONDITIONS FOR A LOCAL MINIMUM .3. 2ND ORDER CONDITIONS AND AUGMENTED DUALITY

被引：148

作者：

IOFFE, AD

机构：

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1979年 / 17卷 / 02期

关键词：

D O I：

10.1137/0317021

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Second order necessary and sufficient conditions are presented for minimum, exact smooth penalty theorems and augmented Lagrangian duality theorems which cover the case when more than one collection of Lagrange multipliers exist and the second order quadratic function can be lower estimated only by norms weaker than that in which the cost function and constrained mappings are differentiable.

引用

页码：266 / 288

页数：23

共 9 条

[1]

Arrow K. J., 1973, Mathematical Programming, V5, P225, DOI 10.1007/BF01580123

[2]

Arrow K. J., 1958, GRADIENT METHODS CON, P166

[3]

Fiacco A., 1990, NONLINEAR PROGRAMMIN

[4] NECESSARY AND SUFFICIENT CONDITIONS FOR A LOCAL MINIMUM .3. 2ND ORDER CONDITIONS AND AUGMENTED DUALITY [J].

IOFFE, AD .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1979, 17 (02) :266-288

[5]

IOFFE AF, UNPUBLISHED

[6]

Lions J.L., 1968, CONTROLE OPTIMALE SY

[7] UNCONSTRAINED LAGRANGIANS IN NONLINEAR-PROGRAMMING [J].

MANGASARIAN, OL .

SIAM JOURNAL ON CONTROL, 1975, 13 (04) :772-791

[8]

Mitjagin B.S., 1974, MATH EC FUNCTIONAL A, P139

[9] AUGMENTED LAGRANGE MULTIPLIER FUNCTIONS AND DUALITY IN NONCONVEX PROGRAMMING [J].

ROCKAFELLAR, RT .

SIAM JOURNAL ON CONTROL, 1974, 12 (02) :268-285

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