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The representation of generalized inverse and its applications

โœ Scribed by Hu Yang; Deqiang Liu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
418 KB
Volume
224
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

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 numerical examples are given.

๐Ÿ“œ SIMILAR VOLUMES

A characterization and representation of
A characterization and representation of the generalized inverse A(2)T,S and its applications
โœ Yimin Wei ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 498 KB

This paper presents an explicit expression for the generalized inverse A!$. Based on this, we established the characterization, the representation theorem and the limiting process for A(Ti. As an application, we estimate the error bound of the iterative method for approximating AFL.

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The representation and computation of generalized inverse
โœ Xingping Sheng; Guoliang Chen; Yi Gong ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 150 KB

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 .