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
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;
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
DOI :
10.1109/NSS.2010.29
