DocumentCode
829036
Title
A note on the evaluation of matrix polynomials
Author
Van Loan, Charles
Author_Institution
Cornell University, Ithaca, NY, USA
Volume
24
Issue
2
fYear
1979
fDate
4/1/1979 12:00:00 AM
Firstpage
320
Lastpage
321
Abstract
The problem of evaluating a polynomial 
in a matrix 
arises in many applications, e.g., the Taylor approximation of eA. The 
algorithm of Paterson and Stockmeyer has the drawback that it requires 
storage, where 
is the degree of 
and 
is the dimension of . An algorithm which greatly reduces this storage requirement without undue loss of speed is presented.
in a matrix arises in many applications, e.g., the Taylor approximation of eA. The algorithm of Paterson and Stockmeyer has the drawback that it requires storage, where is the degree of and is the dimension of . An algorithm which greatly reduces this storage requirement without undue loss of speed is presented.Keywords
Polynomial matrices; Application software; Computer science; Feedback; Polynomials;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1979.1102005
Filename
1102005
Link To Document