SUBDEFINITE MATRICES AND QUADRATIC FORMS

被引：42

作者：

MARTOS, B

机构：

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1969年 / 17卷 / 06期

关键词：

D O I：

10.1137/0117112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The difinitions of quasiconvexity and pseudoconvexity do not offer a useful test from a practical point of view. In this paper one of the simplest problems of this kind is investigated, that a quasiconvex, or pseudoconvex quadratic form. The problem leads to a new class of real symmetric matrices, which author calls subdefinite. The convexity properties of subdefinite quadratic forms are discussed. A few numerical examples are attached.

引用

页码：1215 / &