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A Note on the Evaluation of Matrix Polynomials

Author
Van Loan, Charles
Abstract
The problem of evaluating a polynomial p(x) in a matrix A arises in many applications, e.g. the Taylor approximation of $e^{A}$. The $O(\sqrt{q}n^{3})$ algorithm of Paterson and Stockmeyer has the drawback that it requires $O(\sqrt{q}n^{2})$ storage, where $q$ is the degree of $p$ and $n$ is the dimension of $A$. An algorithm which greatly reduces this storage requirement without undue loss of speed is presented.
Date Issued
1978-09Publisher
Cornell University
Subject
computer science; technical report
Previously Published As
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR78-353
Type
technical report