Accelerated Circulant and Skew Circulant Splitting Methods for Hermitian Positive Definite Toeplitz Systems
Joint Authors
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-11
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We study the CSCS method for large Hermitian positive definite Toeplitz linear systems, which first appears in Ng's paper published in (Ng, 2003), and CSCS stands for circulant and skew circulant splitting of the coefficient matrix A.
In this paper, we present a new iteration method for the numerical solution of Hermitian positive definite Toeplitz systems of linear equations.
The method is a two-parameter generation of the CSCS method such that when the two parameters involved are equal, it coincides with the CSCS method.
We discuss the convergence property and optimal parameters of this method.
Finally, we extend our method to BTTB matrices.
Numerical experiments are presented to show the effectiveness of our new method.
American Psychological Association (APA)
Akhondi, N.& Toutounian, F.. 2011. Accelerated Circulant and Skew Circulant Splitting Methods for Hermitian Positive Definite Toeplitz Systems. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-512655
Modern Language Association (MLA)
Akhondi, N.& Toutounian, F.. Accelerated Circulant and Skew Circulant Splitting Methods for Hermitian Positive Definite Toeplitz Systems. Advances in Numerical Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-512655
American Medical Association (AMA)
Akhondi, N.& Toutounian, F.. Accelerated Circulant and Skew Circulant Splitting Methods for Hermitian Positive Definite Toeplitz Systems. Advances in Numerical Analysis. 2011. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-512655
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512655