Some Algebraic Properties of Generalized Inverse Matrix-Valued Pade Approximation

摘要

The matrix Pade approximant based on generalized inverse is characterized by keeping approximation order and without multiplication of matrices in the construction process. The aim of this paper is to give and prove some algebraic properties of general- ized inverse matrix-valued Pade approxi[nation by means of its definition. Computational examples are given to illustrate the applica- tions of the properties, which greatly simplify the computation process.