ITERATION_METHOD

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Accelerating the HS-type Richardson Iteration Method with Anderson Mixing
《Acta Mathematica Sinica,English Series》2022年第11期2069-2089,共21页Zhi Zhi LI Huai ZHANG Le OU-YANG 
Supported by National Science Foundation of China(Grant Nos.41725017 and 42004085);Guangdong Basic and Applied Basic Research Foundation(Grant No.2019A1515110184);the National Key R&D Program of the Ministry of Science and Technology of China(Grant Nos.2020YFA0713400 and 2020YFA0713401)。
The Accelerated Hermitian/skew-Hermitian type Richardson(AHSR)iteration methods are presented for solving non-Hermitian positive definite linear systems with three schemes,by using Anderson mixing.The upper bounds of ...
关键词：Anderson mixing Hermitian/skew-Hermitian splitting the Richardson iteration convergence analyses optimal parameters the model convection-diffusion equation 
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. 
A distributed inverse iteration method for eigenvalue analysis of interconnected power systems
《Science China(Technological Sciences)》2007年第6期774-785,共12页SHEN Chen CHEN Ying ZHANG Xu 
Supported by the National Basic Research Program of China (Grant No. 2004CB217903)
Since China power grids have a hierarchical architecture in operation and man- agement, centralized computation patterns are difficult to meet the demands of small-signal-stability analysis of the bulk interconnected ...
关键词：DISTRIBUTED computing  eigenvalue  small signal stability  INVERSE ITERATION method 
On Newton-Like Methods for Solving Nonlinear Equations被引量：1
《Geo-Spatial Information Science》2006年第1期76-78,共3页KOU Jisheng LIU Dingyou LI Yitian HE Julin 
FundedbytheNational973ProgramofChina(No.2003CB415200),theNationalNaturalScienceFoundationofChina(No.50379038;No.40474003)andtheNational863ProgramofChina(No.2001AA135081).
In this paper, we present a family of general New to n-like methods with a parametric function for finding a zero of a univariate fu nction, permitting f′(x)=0 in some points. The case of multiple roots is n ot treat...
关键词：Newton method Newton-like method nonlinear equations iteration method 
A NEW METHOD FOR SOLUTION OF 3D ELASTIC-PLASTIC FRICTIONAL CONTACT PROBLEMS
《Applied Mathematics and Mechanics(English Edition)》2001年第7期756-765,共10页张洪武 钟万勰 顾元宪 
theNationalKeyBasicResearchSpecialFoundation (G1 9990 3 2 80 5 ) ;the FoundationforUniversityKeyTeacherbytheMinistryofEducationo
The solution of 3 D elastic-plastic frictional contact problems belongs to the un specified boundary problems where the interaction between two kinds of nonlinearities should occur. Considering the difficulties for th...
关键词：3D frictional contact ELASTO-PLASTICITY programming method iteration method the finite element method 
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