雷秀仁.契比雪夫半迭代法的收敛性[J].数学研究及应用,1989,9(2):277~281
契比雪夫半迭代法的收敛性
On Convergence of Chebyshev Semi-iterative Methods
投稿时间:1987-05-26  
DOI:10.3770/j.issn:1000-341X.1989.02.021
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雷秀仁 华南理工大学应用数学系 
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      In this paper, we proved a sufficient condition for convergence of Cheby shev semi-iterative (CSI) methods applied to the numerical solution of algebraic linear systems, which depends on the bounds on the eigenvalues of a particular matrix and which is given by N.R.Santos and O.L.Linhares in 1986 with a wrong proof. In addition, we discuss the case where the eigenvalues of iterative matrices are complex and establish some sufficient and necessary conditions for convergence of Chebyshev CSI methods.
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