BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZMATRICES FROM SINC METHODS

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	BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZMATRICES FROM SINC METHODS
	Ren Zhiru
	2012
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	30 期号:5 页码:533
摘要	We give general expressions, analyze algebraic properties and derive eigenvalue bounds for a sequence of Toeplitz matrices associated with the sinc discretizations of various orders of differential operators. We demonstrate that these Toeplitz matrices can be satisfactorily preconditioned by certain banded Toeplitz matrices through showing that the spectra of the preconditioned matrices are uniformly bounded. In particular, we also derive eigenvalue bounds for the banded Toeplitz preconditioners. These results are elementary in constructing high-quality structured preconditioners for the systems of linear equations arising from the sinc discretizations of ordinary and partial differential equations, and are useful in analyzing algebraic properties and deriving eigenvalue bounds for the corresponding preconditioned matrices. Numerical examples are given to show effectiveness of the banded Toeplitz preconditioners.
语种	英语
资助项目	[State Key Laboratory of Scientific/Engineering Computing, Chinese Academy of Sciences]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36387
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Ren Zhiru. BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZMATRICES FROM SINC METHODS[J]. Journal of Computational Mathematics,2012,30(5):533.
APA	Ren Zhiru.(2012).BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZMATRICES FROM SINC METHODS.Journal of Computational Mathematics,30(5),533.
MLA	Ren Zhiru."BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZMATRICES FROM SINC METHODS".Journal of Computational Mathematics 30.5(2012):533.