Journal article
REFINEMENTS ON THE INTERLACING OF EIGENVALUES OF CERTAIN TOTALLY NONNEGATIVE MATRICES
OPERATORS AND MATRICES, Vol.1(2)
01 Jan 2007
Abstract
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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Details
- Title
- REFINEMENTS ON THE INTERLACING OF EIGENVALUES OF CERTAIN TOTALLY NONNEGATIVE MATRICES
- Creators
- Shaun M. Fallat - Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, CanadaHugo J. Woerdeman - Drexel University
- Publication Details
- OPERATORS AND MATRICES, Vol.1(2)
- Publisher
- Element
- Number of pages
- 11
- Grant note
- NSERC; Natural Sciences and Engineering Research Council of Canada (NSERC) DMS-0500678 / National Science Foundation; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991019170462604721
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