Affordable Access

Publisher Website

Bounds for the variation of matrix eigenvalues and polynomial roots

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/0024-3795(94)90432-4

Abstract

Abstract For two given complex matrices A, B, upper bounds are derived for the optimal matching distance between the spectra σ( A) and σ( B) in terms of ‖ A - B 2‖, where ‖ ⋅ ‖ 2 is the spectral norm. The case of arbitrary matrix norms is treated. A similar result estimates the optimal matching distance between the roots of two polynomials. These bounds replace a factor of 4 in earlier results by the value 16 (3√3) ≈3.08 .

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments

More articles like this

Bounds for the variation of the roots of a polynom...

on Linear Algebra and its Applica... Jan 01, 1990

Bounds for eigenvalues of matrix polynomials

on Linear Algebra and its Applica... Jan 01, 2003

Distance bounds for prescribed multiple eigenvalue...

on Linear Algebra and its Applica... Jun 01, 2012
More articles like this..