Symbolic computation of Drazin inverses by specializations

被引：12

作者：

Rafael Sendra, J. ^{[1
]}

Sendra, Juana ^{[2
]}

机构：

[1] Univ Alcala, Dept Fis & Matemat, Grp ASYNACS Ref CCEE2011 R34, Ap Correos 20, E-28871 Madrid, Spain

[2] UPM, Res Ctr Software Technol & Multimedia Syst Sustai, Dept Matemat Aplicada TIC, Madrid, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 301卷

关键词：

Drazin inverse; Analytic perturbation; Grobner bases; Symbolic computation; Meromorphic functions; Laurent formal power series; MATRIX SQUARING ALGORITHM; REPRESENTATION;

D O I：

10.1016/j.cam.2016.01.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show how to reduce the computation of Drazin inverses over certain computable fields to the computation of Drazin inverses of matrices with rational functions as entries. As a consequence we derive a symbolic algorithm to compute the Drazin inverse of matrices whose entries are elements of a finite transcendental field extension of a computable field. The algorithm is applied to matrices over the field of meromorphic functions, in several complex variables, on a connected domain and to matrices over the field of Laurent formal power series. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：201 / 212

页数：12

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