ITERATION_METHOD

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A MODIFIED HSS ITERATION METHOD FOR SOLVING THE COMPLEX LINEAR MATRIX EQUATION AXB = C被引量：4
《Journal of Computational Mathematics》2016年第4期437-450,共14页Rong Zhou XiangWang Peng Zhou 
In this paper, a modified Hermitian and skew-Hermitian splitting （MHSS） iteration method for solving the complex linear matrix equation AXB = C has been presented. As the theoretical analysis shows, the MHSS iterati...
关键词：MHSS iteration method HSS iteration method Linear matrix equation. 
THE GENERALIZED LOCAL HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR THE NON-HERMITIAN GENERALIZED SADDLE POINT PROBLEMS
《Journal of Computational Mathematics》2014年第3期312-331,共20页Hongtao Fan Bing Zheng 
We would like to express our sincere gratitude to the anonymous referees whose constructive comments have the presentation of this paper greatly improved. The work was supported by the National Natural Science Foundation （No.11171371 and No.11101195）.
For large and sparse saddle point problems, Zhu studied a class of generalized local Hermitian and skew-Hermitian splitting iteration methods for non-Hermitian saddle point problem [M.-Z. Zhu, Appl. Math. Comput. 218 ...
关键词：Generalized saddle point problems Hermitian and skew-Hermitian matrixsplitting Iteration method Convergence. 
ON STRUCTURED VARIANTS OF MODIFIED HSS ITERATION METHODS FOR COMPLEX TOEPLITZ LINEAR SYSTEMS被引量：2
《Journal of Computational Mathematics》2013年第1期57-67,共11页Fang Chen Yaolin Jiang Qingquan Liu 
Acknowledgments. The work was supported by State Key Laboratory of Scientific/Engineer- ing Computing, Chinese Academy of Sciences; The International Science and Technology Co- operation Program of China under Grant 2010DFA14700; The Natural Science Foundation of China （NSFC） under Grant 11071192, P.R. China.
The Modified Hermitian and skew-Hermitian splitting （MHSS） iteration method was presented and studied by Bai, Benzi and Chen （Computing, 87（2010）, 93-111） for solving a class of complex symmetric linear systems....
关键词：Toeplitz matrix MHSS iteration method Complex symmetric linear system. 
GENERALIZED PRECONDITIONED HERMITIAN AND SKEW-HERMITIAN SPLITTING METHODS FOR NON-HERMITIAN POSITIVE-DEFINITE LINEAR SYSTEMS被引量：1
《Journal of Computational Mathematics》2012年第4期404-417,共14页Junfeng Yin Quanyu Dou 
In this paper, a generalized preconditioned Hermitian and skew-Hermitian splitting （GPHSS） iteration method for a non-Hermitian positive-definite matrix is studied, which covers standard Hermitian and skew-Hermitian...
关键词：Hermitian and skew-Hermitian splitting Iteration method Inner iteration. 
ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS被引量：24
《Journal of Computational Mathematics》2011年第2期185-198,共14页Zhong-Zhi Bai 
We present a Hermitian and skew-Herrnitian splitting （HSS） iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semi- definite matrices. The unconditional...
关键词：Continuous Sylvester equation HSS iteration method Inexact iteration Convergence. 
ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES被引量：11
《Journal of Computational Mathematics》2010年第2期235-260,共26页Zhong-Zhi Bai Xue-Ping Guo 
supported by the National Basic Research Program (No. 2005CB321702);the China Outstanding Young Scientist Foundation (No. 10525102);the National Natural Science Foundation (No.10471146, No. 10571059 and No. 10571060), P.R. China
The Hermitian and skew-Hermitian splitting （HSS） method is an unconditionally convergent iteration method for solving large sparse non-Hermitian positive definite system of linear equations. By making use of the HSS...
关键词：Systems of nonlinear equations HSS iteration method Newton method Local convergence. 
ON THE CONVERGENCE OF KING-WERNER ITERATIONMETHOD IN BANACH SPACEON THE CONVERGENCE OF KING-WERNER ITERATIONMETHOD IN BANACH SPACE
《Journal of Computational Mathematics》2000年第5期457-466,共10页Zheng-da Huang (Department of Mathematics, XiXi Campus, Zhejiang University, Hangzhou 310028, China) 
Partial Supported by the Natural Science Foundation of Zhejiang Province.
In this paper. a Kantorovitch- Ostrowski type convergence theorem and an error estimate of using the information of higher derivatives at the center between initial points for King-Werner iteration method in Banach ...
关键词：Information at the center between initial points King-Werner iteration method CONVERGENCE Error estimate. 
TWO ITERATION METHODS FOR SOLVING LINEAR ALGEBRAIC SYSTEMS WITH LOW ORDER MATRIX A AND HIGH ORDER MATRIX B:Y=(AB)Y+Ф被引量：3
《Journal of Computational Mathematics》2000年第4期419-430,共12页Shuang-suo Zhao (Depart. of Math. & Computing Engieering, Ningxia University, Yinchuan, 750021, China) Zhang-hua Luo (Depart. of Math. & Computer Science, Guangxi Normal University, Guilin, 541004, China) Guo-feng Zhang (Depart. of Math., Lanzhou Univers 
national natural science foundation of China !(19671039).
This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic systems with low order matrix A and high order matrix ...
关键词：System of algebraic equations Iteration method Iteration direct method Solution method for stiff ODEs 
AN ITERATION METHOD FOR INCOMPRESSIBLEVISCOUS/INVISCID COUPLED PROBLEM VIA A SPECTRALAPPROXIMATION
《Journal of Computational Mathematics》1999年第4期379-396,共18页Chuan-jn Xu(Department of Mathematics, Xiamen University, Xiamen 361005, China) 
An efficient iteration-by-subdomain method (known as the Schwarz alternating algorithm) for incompressible viscous/inviscid coupled model is presented. Appropriate spectral collocation approximations are proposed. The...
关键词：coupled equations Navier-Stokes equations Euler equations cllocation approximation Schwarz alternating algorithm 
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