The eigenvalue distribution of oscillatory and strictly sign-regular matrices

S P Eveson

The eigenvalue distribution of oscillatory and strictly sign-regular matrices

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

For an oscillatory matrix A (that is, a totally positive matrix one of whose powers is strictly totally positive), we give an exact formula for the ratio of two successive eigenvalues of A, similar to the classical formula for the spectral radius, r(A) = lim(j-->infinity) \\A(j)\\(1/j). Related formulae are derived for strictly sign-regular matrices.

Original language	English
Pages (from-to)	17-21
Number of pages	5
Journal	Linear Algebra and its applications
Volume	246
Publication status	Published - Oct 1996

Cite this

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title = "The eigenvalue distribution of oscillatory and strictly sign-regular matrices",

abstract = "For an oscillatory matrix A (that is, a totally positive matrix one of whose powers is strictly totally positive), we give an exact formula for the ratio of two successive eigenvalues of A, similar to the classical formula for the spectral radius, r(A) = lim(j-->infinity) \\A(j)\\(1/j). Related formulae are derived for strictly sign-regular matrices.",

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AU - Eveson, S P

PY - 1996/10

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AB - For an oscillatory matrix A (that is, a totally positive matrix one of whose powers is strictly totally positive), we give an exact formula for the ratio of two successive eigenvalues of A, similar to the classical formula for the spectral radius, r(A) = lim(j-->infinity) \\A(j)\\(1/j). Related formulae are derived for strictly sign-regular matrices.

M3 - Article

VL - 246

SP - 17

EP - 21

JO - Linear Algebra and its applications

JF - Linear Algebra and its applications

ER -