REFINEMENTS ON THE INTERLACING OF EIGENVALUES OF CERTAIN TOTALLY NONNEGATIVE MATRICES

被引：0
|
作者：
Fallat, Shaun M. [1 ]
Woerdeman, Hugo J. [2 ]
机构：
[1] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
[2] Drexel Univ, Dept Math, Philadelphia, PA 19104 USA
来源：
OPERATORS AND MATRICES | 2007年 / 1卷 / 02期
基金：
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词：
Totally nonnegative matrices; oscillatory matrices; eigenvalues; eigenvalue interlacing; biorthogonal polynomials;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It has long been known that the eigenvalues of a totally positive matrix interlace the eigenvalues of its maximal leading principal submatrix. Motivated by recent questions arising from studying the roots of certain biorthogonal polynomials, we extend the classical strict interlacing fact to other classes of totally nonnegative matrices.
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页码：271 / 281
页数：11
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