Existence and Uniqueness of Matrix Padé Approximants

Existence and Uniqueness of Matrix Padé Approximants

Year:    1990

Author:    Guo-Liang Xu

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 1 : pp. 65–74

Abstract

For the problems of the left and right matrix Padé approximations, we give the necessary and sufficient conditions for the existence of their solutions. If the left Padé approximant exists, then we prove that its uniqueness is equivalent to the existence of right Padé approximants, and we further give the exact results about the dimension of the linear space $^LR^{*}(m,n)$ formed from the left Padé approximants.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1990-JCM-9420

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 1 : pp. 65–74

Published online:    1990-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:   

Author Details

Guo-Liang Xu