# American Institute of Mathematical Sciences

2016, 6(2): 103-113. doi: 10.3934/naco.2016002

## Index-proper nonnegative splittings of matrices

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

Received  November 2014 Revised  April 2016 Published  June 2016

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.
Citation: Chinmay Kumar Giri. Index-proper nonnegative splittings of matrices. Numerical Algebra, Control & Optimization, 2016, 6 (2) : 103-113. doi: 10.3934/naco.2016002
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