On unique solvability of the absolute value equation

被引：0
|
作者：
Jiri Rohn
机构：
[1] Czech Academy of Sciences,Institute of Computer Science
[2] Anglo-American University,School of Business Administration
来源：
Optimization Letters | 2009年 / 3卷
关键词：
Absolute value equation; Unique solution; Singular values;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is proved that the singular value condition σmax(|B|) < σmin(A) implies unique solvability of the absolute value equation Ax + B|x| = b for each right-hand side b. This is a generalization of an earlier result by Mangasarian and Meyer proved for the special case of B = −I.
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页码：603 / 606
页数：3
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