title:
 
Comparisons Between Vector and Matrix Padé Approximants
publication:
 
JNMP
volume-issue:   10 - Supplement 2
pages:   1 - 12
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.2003.10.s2.1 (how to use a DOI)
author(s):
 
Claude BREZINSKI
publication date:
 
December 2003
abstract:
 
In this paper, we compare the degrees and the orders of approximation of vector and matrix Padé approximants for series with matrix coefficients. It is shown that, in this respect, vector Padé approximants have better properties. Then, matrix­vector Padé approximants are defined and constructed. Finally, matrix Padé approximants are related to the method of moments.
copyright:
 
© Atlantis Press. This article is distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
full text: