Computing matrix functions using mixed interpolation methods

Authors:
Mehdi Dehghan;Masoud Hajarian
Affiliations:
Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No.424, Hafez Avenue, Tehran 15914, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No.424, Hafez Avenue, Tehran 15914, Iran
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 16
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Abstract

Computing matrix functions plays a diverse role in science and engineering. By applying mixed interpolation methods with arbitrary nodes for approximating real functions and the eigenvalues of the given matrix A, we propose a definition for computing the matrix function f(A). We will show the existence and uniqueness of the proposed definition. By using this definition, we present various practical techniques for computing the matrix function f(A). Finally some numerical examples and an application are given to show the applicability and the efficiency of the presented techniques.