A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-m...A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-matrix (or H-matrix) by using the algorithm.展开更多
From the concept of α diagonally dominant matrix, two sufficient conditions of nonsingular H-matrices were obtained in this paper. An example was given to show that these results improve the known results.
非奇 H 矩阵在计算数学和矩阵理论的研究中非常重要,本文对该类矩阵给出了一个简捷判别条 件,根据这一判别条件,在一定条件下非奇 H 矩阵某些行的非对角元的模和可以任意大。另外 非奇 H 矩阵的较为实用的必要条件较少,本文...非奇 H 矩阵在计算数学和矩阵理论的研究中非常重要,本文对该类矩阵给出了一个简捷判别条 件,根据这一判别条件,在一定条件下非奇 H 矩阵某些行的非对角元的模和可以任意大。另外 非奇 H 矩阵的较为实用的必要条件较少,本文给出了一个非奇 H 矩阵的较为实用的必要条件。展开更多
基金Foundation item: This work is supported by the Science Foundations of the Education Department of Yunnan Province (03Z169A)the Science Foundatons of Yunnan University (2003Z013B).
文摘A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-matrix (or H-matrix) by using the algorithm.
文摘From the concept of α diagonally dominant matrix, two sufficient conditions of nonsingular H-matrices were obtained in this paper. An example was given to show that these results improve the known results.
