With appropriate variable replacement, the bivariate homogeneous matrix formal power series is transformed to univariate matrix formal power series with parameters. The bivariate homogeneous matrix Padé-type approximation was defined. To improve computation accuracy, using an error formula, the numerator and denominator in the determinant expressions of bivariate homogeneous matrix orthogonal polynomial Padé-type approximation are given based on the matrix EMN. A Sylvester-type recursive algorithm is presented to avoid computation of high degree determinants. A numerical example shows effectiveness of the algorithm.
PAN Bao-zhen, LIU Yong, PAN Lu-lu
. Computation of Bivariate Homogeneous Matrix Padé-Type Approximation[J]. Journal of Shanghai University, 2013
, 19(3)
: 303
-307
.
DOI: 10.3969/j.issn.1007-2861.2013.03.016
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