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MICS
2007
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13 years 11 months ago
Pseudospectra of Matrix Polynomials that Are Expressed in Alternative Bases
Spectra and pseudospectra of matrix polynomials are of interest in geometric intersection problems, vibration problems, and analysis of dynamical systems. In this note we consider ...
Robert M. Corless, Nargol Rezvani, Amirhossein Ami...
CORR
2010
Springer
126views Education» more  CORR 2010»
13 years 11 months ago
Piecewise Certificates of Positivity for matrix polynomials
Abstract. We show that any symmetric positive definite homogeneous matrix polynomial M R[x1, . . . , xn]m
Ronan Quarez
APPML
2007
76views more  APPML 2007»
13 years 11 months ago
A distance bound for pseudospectra of matrix polynomials
In this note, we obtain a lower bound for the distance between the pseudospectrum of a matrix polynomial and a given point that lies out of it, generalizing a known result on pseu...
Panayiotis Psarrakos