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 Qxk +M −1 b to solve Ax=b.Keywords
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