Problems and progress in vector Padé approximation
| Autor: | D. E. Roberts, Peter Graves-Morris |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
Power series
Vector-valued power series de Montessus theorem Applied Mathematics Mathematical analysis Clifford algebra Inverse Padé table Pfaffian Berlekamp–Massey algorithm Berlekamp-Massey algorithm Computational Mathematics Convergence (routing) Vector Padé approximant Padé approximant Vector epsilon algorithm Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 77(1-2):173-200 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/s0377-0427(96)00127-6 |
| Popis: | Some open problems in vector Pade approximation are stated, and some recent de Montessus-type theorems governing convergence of rows of the vector Pade table are contrasted. Weshow how these results indicate when it is more appropriate to use generalised inverse vector Pade approximants or their hybridised form. We show how a straightforward analogue of the Berlekamp-Massey algorithm may be used to calculate generalised inverse vector Pade approximants. This algorithm is applied to the derivation of a new low-order hybrid vector approximant. Related results include the case of a row convergence theorem for a complex-valued power series using a Clifford inverse instead of the Moore-Penrose inverse. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect