中文摘要：

在用迭代法解线性方程组时，迭代矩阵的谱半径估计在迭代法的收敛性分析中起着重要的作用．该文对一类Baily-Crabtree型对角占优矩阵M，给出了迭代矩阵M^-1N的特征值模的上下界估计．并以此为基础，在一定条件下给出了当M是α-严格对角占优矩阵时的M^-1N的特征值模的上下界估计．并以具体例子说明了所得结果的有效性．

英文摘要：

For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices. In this paper we present an estimate for bounds of module of eigenvalues of the iteration matrix M^-1N for a kind of Baily-Crabtree diagonally dominant matrix M. Then, under a certain condition, the estimate for bounds of the module of eigenvalues of M^-1N is presented when M is a α- strictly diagonally dominant matrix. Numerical examples for illustrating validity of results are presented.