DocumentCode :
819829
Title :
Closed-form expressions for matrix functions (including e^{At} )
Author :
Muralidharan, R.
Author_Institution :
Harvard University, Cambridge, MA, USA
Volume :
20
Issue :
5
fYear :
1975
fDate :
10/1/1975 12:00:00 AM
Firstpage :
705
Lastpage :
707
Abstract :
In this technical note, we develop closed-form expressions for f(A) where A is any constant n \\times n matrix and f(\\lambda ) is any analytic function in a region containing the eigenvalues λiof A, i = 1,2, ..., n . The matrix A may have nondistinct eigenvalues.
Keywords :
Matrix functions; Closed-form solution; Eigenvalues and eigenfunctions; Physics; Polynomials; Symmetric matrices; Writing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1101069
Filename :
1101069
Link To Document :
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