NONLINEAR OPTIMIZATION - ON CONNECTED COMPONENTS OF LEVEL SETS

被引：0

作者：

JONGEN, HT ^{[1
]}

RUECKMANN, J ^{[1
]}

机构：

[1] LEIPZIG UNIV TECHNOL,DEPT MATH & COMP SCI,O-7030 LEIPZIG,GERMANY

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1993年 / 31卷 / 01期

关键词：

LEVEL SETS; CONNECTED COMPONENTS; DESCENT CURVES; MANGASARIAN-FROMOVITZ CONSTRAINT QUALIFICATION; STATIONARY POINTS; STRONGLY STABLE STATIONARY POINTS; MFCQ;

D O I：

10.1137/0331007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with differentiable constrained optimization problems in finite dimensions. The constraint qualification used is of Mangasarian-Fromovitz type. This paper studies the connected component of the level set of the objective function containing a specific local minimizer, considering that component as a function of the objective level. Special attention is paid to compactness and continuity aspects, also in connection with the occurrence of stationary points. Moreover, a covering of such a compact connected component is presented with differentiable curves tending to the specific local minimizer along which the objective function monotonically decreases.

引用

页码：86 / 100

页数：15

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