Article ID Journal Published Year Pages File Type
4602911 Linear Algebra and its Applications 2008 16 Pages PDF
Abstract

Generalizations of M-matrices are studied, including the new class of GM-matrices. The matrices studied are of the form sI-B with B having the Perron–Frobenius property, but not necessarily being nonnegative. Results for these classes of matrices are shown, which are analogous to those known for M-matrices. Also, various splittings of a GM-matrix are studied along with conditions for their convergence.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory