摘要
萨马斯基曾给出判稳的充分条件,但它涉及估计算子的模或特征值,这在一般情况下是困难的,不容易检验.本文给出一种易于检验的充分条件,即把稳定性与一代数方程组的Jacobi迭代法的迭代阵的最大特征值联系起来,从而可利用迭代法收敛的某些已知结果来判别稳定性,其中特别方便的是利用矩阵的对角占优条件.本方法的特点是适用于一般的非均匀有限元剖分.
A. A. Samarasky has given some sufficient conditions for stability [1], but tbe test of theconditions requires estimating the norm or the eigenvalues of the operator. In general that isdifficult. This paper provides new sufficient conditions for stability, which are easily tested.Particularly, they are applicable to non-uniform finite element division.
出处
《计算数学》
CSCD
北大核心
1991年第3期251-258,共8页
Mathematica Numerica Sinica
