广义H-矩阵的一组充分条件

基金项目: 国家自然科学基金资助项目(10671164);湖南省科学工程计算与数值仿真重点实验室资助项目

Some New Conditions for Generalized H-matrices

School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, P. R. China

摘要: 利用矩阵的连续过渡、子矩阵的谱半径估计等方法，研究了正定条件下的广义H-矩阵的判别法．给出了判定正定条件下广义H-矩阵的几个充分条件，当块矩阵退化为点矩阵时，这些条件即为非奇异H-矩阵的充分条件．
- H-矩阵 /
- 广义H-矩阵 /
- 谱半径
Abstract: By using a matrix' continuous transition method and the sub-matrix' estimate of spectral radius methods etc., some decision methods for a generalized H-matrix under positive definite matrix conditions were researched. Some new sufficient conditions for generalized H-matrices are obtained. When a block matrix degenerates a point matrix, these conditions then become H-matrix's sufficient conditions.
- H-matrix /
- generalized H-matrix /
- spectral radius

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