Comparisons Between Vector and Matrix Padé Approximants
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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.
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Cite this article
TY - JOUR AU - Claude Brezinski PY - 2003 DA - 2003/12/01 TI - Comparisons Between Vector and Matrix Padé Approximants JO - Journal of Nonlinear Mathematical Physics SP - 1 EP - 12 VL - 10 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2003.10.s2.1 DO - https://doi.org/10.2991/jnmp.2003.10.s2.1 ID - Brezinski2003 ER -