| 摘 要： | Let m/n]_f be the matrix Padé approximant (MPA, left-or righthanded) for a given matrix-valued power series f. Let T_(m,n)~n, be the operator which maps f to m/n]_f. It is well known that in the scalar. case T_(m,n)~n satisfies a (local) Lipschitz condition if and only if m/n]_f has a zero defect. However, in the matrix case we are confronted with the difficulty that we cannot give a definition of defect.In this paper, an explicit expression of MPA is given and a result about the continuity of the matrix Padé operator is obtained.
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