Volume 8, Issue 1
Existence and Uniqueness of Matrix Pade Approximants

Guo-liang Xu

J. Comp. Math., 8 (1990), pp. 65-74

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  • Abstract

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

  • History

Published online: 1990-08

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