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\iteman{io-port 04078644}
\itemau{Achuthan, P.; Sundar, S.}
\itemti{A new application of the extended Euclidean algorithm for matrix Pad\'e approximants.}
\itemso{Comput. Math. Appl. 16, No.4, 287-296 (1988).}
\itemab
To compute the matrix Pad\'e approximants [cf. {\it G. A. Baker jun.}, Essentials of Pad\'e approximants (1975; Zbl 0315.41014)] of a formal power series $S(x)=\sum\sp{\infty}\sb{i=0}s\sb ix\sb i$ whose coefficients $s\sb i$ are square matrices, the extended Euclidean algorithm is suitably modified. The authors present a Pascal procedure which generates the approximants along an anti-diagonal path in the Pad\'e table of S (if they exist) and illustrate their method by numerical examples.
\itemrv{M.Eiermann}
\itemcc{}
\itemut{matrix Pad\'e approximants; formal power series; extended Euclidean algorithm; Pascal procedure; Pad\'e table; numerical examples}
\itemli{doi:10.1016/0898-1221(88)90145-9}
\end