Name
Title | ||
|---|---|---|
Determination of a matrix function using the divided difference method of Newton and the interpolation technique of Hermite |
Abstract | ||
|---|---|---|
Computing a function f(A) of an n-by-n matrix A is a frequently occurring problem in control theory and other applications. In this paper we introduce an effective approach for the determination of matrix function f(A). We propose a new technique which is based on the extension of Newton divided difference and the interpolation technique of Hermite and using the eigenvalues of the given matrix A. The new algorithm is tested on several problems to show the efficiency of the presented method. Finally, the application of this method in control theory is highlighted. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cam.2009.01.021 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
effective approach,n-by-n matrix,interpolation technique,control theory,divided difference method,new algorithm,matrix function,new technique,state transition matrix,matrix polynomial,square root of matrix,cauchy integral,state transition,matrix square root,divided difference | Matrix (mathematics),Mathematical analysis,Interpolation,Matrix function,Square matrix,State-transition matrix,Square root of a matrix,Hermite interpolation,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
231 | 1 | 0377-0427 |
Citations | PageRank | References |
1 | 0.38 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mehdi Dehghan | 1 | 3022 | 324.48 |
| Masoud Hajarian | 2 | 345 | 24.18 |