Convergent regular splittings for nonnegative matrices
Stephen L. Campbell, George D. Poole · Linear and Multilinear Algebra · 1981
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.