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» On Chebyshev Polynomials of Matrices
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CORR
2011
Springer
213views Education» more  CORR 2011»
14 years 3 months ago
Symbolic computation of weighted Moore-Penrose inverse using partitioning method
We propose a method and algorithm for computing the weighted MoorePenrose inverse of one-variable rational matrices. Also, we develop an algorithm for computing the weighted Moore...
Milan B. Tasic, Predrag S. Stanimirovic, Marko D. ...
APPML
2007
76views more  APPML 2007»
14 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
AAIM
2007
Springer
97views Algorithms» more  AAIM 2007»
15 years 5 months ago
Probe Matrix Problems: Totally Balanced Matrices
Let M be a class of 0/1-matrices. A 0/1/ -matrix A where the s induce a submatrix is a probe matrix of M if the s in A can be replaced by 0s and 1s such that A becomes a member of ...
David B. Chandler, Jiong Guo, Ton Kloks, Rolf Nied...
AUTOMATICA
2006
70views more  AUTOMATICA 2006»
14 years 11 months ago
A Toeplitz algorithm for polynomial J-spectral factorization
A block Toeplitz algorithm is proposed to perform the J-spectral factorization of a para-Hermitian polynomial matrix. The input matrix can be singular or indefinite, and it can ha...
Juan Carlos Zúñiga, Didier Henrion
AUTOMATICA
2011
14 years 2 months ago
A hierarchy of LMI inner approximations of the set of stable polynomials
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear ma...
Mustapha Ait Rami, Didier Henrion