On Linear Inequality Systems with Smooth Coefficients

被引：0

作者：

M. A. Goberna

L. Hernández

M. I. Todorov

机构：

[1] Universidad de Alicante,Departamento de Estadística e Investigación Operativa

[2] Universidad Autónoma de Puebla,Departamento de Mathemáticas

[3] Universidad de las Américas,Departmento de Física y Matemáticas

来源：

Journal of Optimization Theory and Applications | 2005年 / 124卷

关键词：

Linear systems; closed convex sets; linear semi-infinite programming;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A linear inequality system with infinitely many constraints is polynomial [analytical] if its index set is a compact interval of the real line and all its coefficients are polynomial [analytical] functions of the index on this interval. This paper provides sufficient conditions for a given closed convex set to be the solution set of a certain polynomial or at least analytical system.

引用

页码：363 / 386

页数：23

共 15 条

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[2]

Lewis A. S.(1992)A Purification Algorithm for Semi-Infinite Programming European Journal of Operations Research 57 412-420

[3]

León T.(1999)Analytical Linear Inequality Systems and Optimization Journal of Optimization Theory and Applications 103 95-119

[4]

Vercher T.(1994)New Descent Rules for Solving the Linear Semi-Infinite Optimization Problem Operations Research Letters 15 105-114

[5]

Goberna M. A.(1995)Optimality Theory for Semi-Infinite Linear Programming Numerical Functional Analysis and Optimization 16 669-700

[6]

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[7]

Puente R.(1966)Generalizations of Some Fundamental Theorems on Linear Inequalities Acta Mathematica Sinica 16 25-40

[8]

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[9]

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[10]

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