The Judgment and Application Algorithm for Inverse M-matrices

摘要

In this paper,a simple and convenient judging method will be given.It is used to judge whether a ｎ×ｎnonnegative real matrix A is an inverse Mmatrix.By using the method,we reduce the order of a ｎ×ｎmatrix A gradually until the reduced matrix can be judged by the definition of inverse M-matrices. At the same time,algorithm and its operation problem are also been studied.