DocumentCode
3088205
Title
The Convergences of Multisplitting Parallel Methods for Non-Hermitian Positive Definite Systems
Author
Wang, Chuan-Long ; Wang, Yan-Ping
Author_Institution
Taiyuan Normal Univ., Taiyuan, China
fYear
2010
fDate
1-3 Sept. 2010
Firstpage
430
Lastpage
434
Abstract
We present the convergent splitting and convergent multi splitting for linear system of algebraic equations Ax=b when the coefficient matrix is a non-hermitian positive definite matrix. Furthermore, we also establish the comparison theorems of different splitting or multisplittings by numerical radius. Finally, we give an application to solve the complex linear system.
Keywords
convergence of numerical methods; iterative methods; matrix algebra; parallel algorithms; algebraic equations; complex linear system; convergent splitting; multisplitting parallel methods; nonhermitian positive definite systems; Convergence; Equations; Iterative methods; Linear systems; Mathematical model; Sparse matrices; Vectors; Non-hermitian matrix; comparison theorem; multisplitting; positive definite matrix;
fLanguage
English
Publisher
ieee
Conference_Titel
Network and System Security (NSS), 2010 4th International Conference on
Conference_Location
Melbourne, VIC
Print_ISBN
978-1-4244-8484-3
Electronic_ISBN
978-0-7695-4159-4
Type
conf
DOI
10.1109/NSS.2010.29
Filename
5635882
Link To Document