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The representation and computation of generalized inverse

โœ Scribed by Xingping Sheng; Guoliang Chen; Yi Gong


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
150 KB
Volume
213
Category
Article
ISSN
0377-0427

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โœฆ Synopsis


This paper presents a novel representation for the generalized inverse A

(2) T ,S . Based on this, we give an algorithm to compute this generalized inverse. As an application, we use Gauss-Jordan elimination to compute the weighted Moore-Penrose inverse A โ€  M,N and the Drazin inverse A d .


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In Karampetakis (1995) an algorithm for computing the generalized inverse of a singular polynomial matrix A(s) โˆˆ R[s] nร—m has been presented. In this paper the algorithm is extended to that of the singular rational matrix, A(s) โˆˆ R(s) nร—m , and the algorithm is subsequently implemented in the symbol