Index-proper nonnegative splittings of  matrices

Chinmay  Kumar  Giri

doi:10.3934/naco.2016002

Article Contents

2016, Volume 6, Issue 2: 103-113. Doi: 10.3934/naco.2016002

This issue Previous Article On bounds of the Pythagoras number of the sum of square magnitudes of Laurent polynomials Next Article Derivatives of eigenvalues and Jordan frames

Index-proper nonnegative splittings of matrices

Chinmay Kumar Giri^1,

1.
Department of Mathematics, National Institute of Technology Raipur, Raipur - 492 010

Received: November 2014

Revised: April 2016

Published: May 2016

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Abstract

The theory of splitting is a useful tool for finding solution of a system of linear equations. Many woks are going on for singular system of linear equations. In this article, we have introduced a new splitting called index-proper nonnegative splitting for singular square matrices. Several convergence and comparison results are also established. We then apply the same theory to double splitting.

Keywords:

Drazin inverse; group inverse; non-negativity; Index-proper splitting; convergence theorem; comparison theorem.

Mathematics Subject Classification: 15A09, 65F15, 65F20.

Citation:

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