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 :
