Convergent regular splittings for nonnegative matrices

1 February 1981

journal article
research article
Published by Taylor & Francis in Linear and Multilinear Algebra

Vol. 10 (1) , 63-73
https://doi.org/10.1080/03081088108817393

Abstract

MP matrices are those real matrices which possess a nonnegative, nonsingular l-inverse. This paper characterizes the nonnegative MP matrices and hence, determines when a nonnegative matrix A has a convergent regular splitting M—Q which induces the linear stationary iterative scheme x _k+1=M ⁻¹ Qx_k +M ⁻¹ b to solve Ax=b.

Keywords

NONNEGATIVE MATRIX

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