An integer arithmetic method to compute generalized matrix inverse and solve linear equations exactly

Sen, SK and Shamim, AA (1978) An integer arithmetic method to compute generalized matrix inverse and solve linear equations exactly. In: Proceedings of the Indian Academy of Sciences, 87 (9). 161-168 .

Preview

PDF matrix.pdf - Published Version Download (300kB)

Abstract

An algorithm that uses integer arithmetic is suggested. It transforms anm ×n matrix to a diagonal form (of the structure of Smith Normal Form). Then it computes a reflexive generalized inverse of the matrix exactly and hence solves a system of linear equations error-free.

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences
Publisher:	Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Exact computation - integer arthematic - generalized matrix inverse - linear equations - Smith diagonai form .
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Date Deposited:	11 Oct 2010 06:47
Last Modified:	11 Oct 2010 06:47
URI:	http://eprints.iisc.ac.in/id/eprint/32945

Actions (login required)

View Item