This paper presents the explicit expression for matrix right symmetry factor with prescribed rang and null space. Moreover, the explicit expression for generalized inverse A (2,3) T ,S , which is a {2,3}-inverse of A having the prescribed rang T and null space S, is derived. As an application, two
The representation and computation of generalized inverse
โ 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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โฆ 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 .
๐ SIMILAR VOLUMES
In Karampetakis (1995) an algorithm for computing the generalized inverse of a singular polynomial matrix A(s) โ R[s] nรm has been presented. In this paper the algorithm is extended to that of the singular rational matrix, A(s) โ R(s) nรm , and the algorithm is subsequently implemented in the symbol