摘要
研究大型线性方程组迭代解法中分块ＪＡＣＯＢＩ迭代阵的收敛性。采用块矩阵分析方法和谱半径降维估计法得到块Ｊａｃｏｂｉ迭代阵收敛的实用充分条件。
For solving large systems of linear equations, the block Jacobi iterations are often used.The necessary and sufficient condition of convergence of the block Jacobi iterations is that the spectral radius of block iterative matrices is less than 1.In this paper, the block matrix analysis methods and estimate for the spectral radius are applied to obtain some pratical sufficient conditions for the convergence of block Jacobi matrix.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
1996年第6期663-665,共3页
Journal of University of Electronic Science and Technology of China
