机构地区: 华南理工大学理学院数学与应用数学系
出 处: 《中山大学学报论丛》 1996年第5期66-70,共5页
摘 要: 讨论用于线性代数方程组的迭代解法的Chebyshev加速方法的收敛性.分别就基本迭代矩阵具有实特征值和复特征值两种情形进行分析,得到一种较深刻的结论。 In this paper, convergence of Chebyshev acceleration methods applied to iterative resolutions of algebraic linear systems is studied, with cases in which eigenvalues of basic iterative matrices are real and complex, respectively. Our conclusions are stronger than those in the thesis , and a new concept of convergence rate is given.