广义严格对角占优矩阵的一种判别法

An Iterative Method for Checking Generalized Strictly Diagonally Dominant Matrices

广义严格对角占优矩阵是一类很重要的特殊矩阵,在理论与实际中具有广泛的应用,有关它的判别一直是人们研究的重点.本文给出广义严格对角占优矩阵的一种迭代判别法,证明了相应的收敛性理论,并用数值算例展示了该判别法的有效性.

Generalized strictly diagonally dominant matrix is a kind of special matrix which has many applications in theory and practice, and research on its discrimination has become a hot topic in recent years. In this paper, an iterative method is proposed for identifying a matrix to be a generalized strictly diagonally dominant matrix or not. Theoretical analysis and numerical examples are given to show that the method is effective and efficient.