PAN Bao-zhen, LIU Yong, PAN Lu-lu. Computation of Bivariate Homogeneous Matrix Padé-Type Approximation[J]. Journal of Shanghai University(Natural Science Edition), 2013, 19(3): 303-307.
[1] Brezinski C. Padé-type approximation and general orthogonal polynomials [M]. Basel: Birkhauser, 1980.[2] Draux A. Approximants de type Padé et de Pade [M]. Lille: Universié des Science et Technologies de Lille, 1983: 1-89.[3] Gu C Q. Matrix Padé-type approximant and directional matrix Padé-type approximant in the inner product space [J]. J Comput Appl Math, 2004, 164/165: 365-385.[4] Zheng C D. Generalized homogeneous multivariate matrix Padé-type approximants and Padé-type approximants [J]. IEEE Transactions on Automatic Control, 2007, 52(11): 2160-2165.[5] Tao Y T, Gu C Q. A two-dimensional matrix Padé type approximant in the inner product space [J]. J Comput Appl Math, 2009, 231(2): 680-695.[6] Benouahmane B, Cuyt A. Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature [J]. J Numerical Algorithms, 2000, 24(1/2): 1-15.[7] 潘宝珍. 二元齐次矩阵Padé-型逼近及误差公式[J]. 应用数学与计算数学学报, 2012, 26(1): 113-120.[8] Baker G, Graves-Morris P. Padé approximants [M]. 2nd ed. New York: Cambridge University Press, 1997.