Title: A matrix Euclidean algorithm and the matrix minimal Padé approximation problem
Authors: Bultheel, Adhemar
Van Barel, Marc
Issue Date: 1990
Publisher: North Holland
Host Document: Continued fractions and Padé approximants pages:11-51
Abstract: We formulate a minimal Padé approximation problem and generalize it for rectangular matrix series. The scalar solutions can be computed by the Euclidean algorithm and we give its generalization to compute the matrix approximants. The algorithm is normalized so that it generates unique matrix minimal Padé approximants and a unique continued fraction representation for them.
ISBN: 0-444-88169-7
Publication status: published
KU Leuven publication type: IHb
Appears in Collections:Numerical Analysis and Applied Mathematics Section

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