394 search results - page 2 / 79 » Computing Minimal Polynomials of Matrices |
SIAMMAX
2010
12 years 12 months ago
2010
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
CORR
2011
Springer
12 years 9 months ago
2011
Springer
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...
JSC
2006
13 years 5 months ago
2006
In this paper we give formulas for performing row reduction of a matrix of Ore polynomials in a fraction-free way. The reductions can be used for finding the rank and left nullspa...
COMBINATORICS
2004
13 years 5 months ago
2004
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
COCO
2005
Springer
13 years 10 months ago
2005
Springer
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...