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

Guo-Liang Xu

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

Published online: 1990-08

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  • 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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@Article{JCM-8-65, author = {Xu , Guo-Liang}, title = {Existence and Uniqueness of Matrix Padé Approximants}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {1}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9420.html} }
TY - JOUR T1 - Existence and Uniqueness of Matrix Padé Approximants AU - Xu , Guo-Liang JO - Journal of Computational Mathematics VL - 1 SP - 65 EP - 74 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9420.html KW - AB -

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.  

Xu , Guo-Liang. (1990). Existence and Uniqueness of Matrix Padé Approximants. Journal of Computational Mathematics. 8 (1). 65-74. doi:
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