Convergence of the vector QD-algorithm. Zeros of vector orthogonal polynomials

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摘要

The convergence of the vector QD-algorithm, associated to d meromorphic functions, is established. As a consequence a De Montessus–De Ballore theorem for vector Padé approximants is proved. A short numerical study is done in conclusion.

论文关键词：Vector Padé approximants,QD-algorithm

论文评审过程：Received 3 February 1988, Revised 14 June 1988, Available online 22 March 2002.

论文官网地址：https://doi.org/10.1016/0377-0427(89)90073-3