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A new family of multivariate matrix Pade approximants
| Content Provider | Semantic Scholar |
|---|---|
| Author | Abouir, Jilali Benouahmane, Brahim Elbouchouki, Abdelatif |
| Copyright Year | 2014 |
| Abstract | Pade-type approximants and Pade approximants are methods of rational approximation of a function which have a formal power series expansion. Pade and Pad´e-type approximants in the scalar case have been studied in many papers during a number of decades, (4, 6, 8, 9) to cite just a few. A generalization in the rectangular or homogeneous multivariate matrix case was given by Cheng De Zheng and Huaguang Zhang in (14, 15). In the present work we propose a more general definition of the Pad´e-type approximants and we will discuss their several algebraic properties which will be established. We introduce a new family of homogeneous multivariate matrix Pade approximants. Numerical examples are given to illustrate our results. |
| Starting Page | 199 |
| Ending Page | 217 |
| Page Count | 19 |
| File Format | PDF HTM / HTML |
| Volume Number | 6 |
| Alternate Webpage(s) | http://www.ujaen.es/revista/jja/pdf/pre/jja-0006-02-14-3.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |