块广义严格对角占优矩阵的新判定

The New Criteria for Block Generalized Strictly Diagonally Dominant Matrices

为了解决块广义对角占优矩阵判定中的问题,利用矩阵元素间的关系,定义了一类新的矩阵,局部块广义严格对角占优矩阵,利用广义严格对角占优矩阵与块广义严格对角占优矩阵之间的关系,将广义严格对角占优矩阵的判定方法进行推广,得到块广义严格对角占优矩阵的判定条件.

The main purpose of this paper is to tackle the problem in practice for block generalize strictly diagonally dominant matrices, we give a new definition of locally block generalize strictly diagonally dominant matrices by using the relationship between elements in the matrices. We use the similar method about the generalized strictly diagonal dominant matrices to promote a new simple criterion for block generalized strictly diagonally dominant matrices based on the connection of them.