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《Mathematica Numerica Sinica》 2012-01
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A CLASS OF GENERALIZED INEXACT UZAWA METHODS FOR SADDLE POINT PROBLEMS

Dou Quanyu (Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,Henan,China) Yin Junfeng (Department of Mathematics,Tongji University,Shanghai 200092,China)  
A class of general inexact Uzawa methods for the solution of large and sparse saddle point problems are presented,which can not only cover many existing approaches,but also imply many new iteration scheme.Theoretical analyses give the convergence condition for new methods,as well as the choice of the optimal parameter matrices.Numerical results from discrete stokes problems by finite element method show that the new algorithm is efficient, and much faster than existing algorithms.
【Fund】: 国家自然科学基金(10801106);; 中央高校基本科研业务费专项资金
【CateGory Index】: O241.6
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Cheng Xiaoliang (Dept.of Math.,Zhejiang Univ.Xixi Campus,Zhejiang 31 0 0 2 8,China) Peng Wuan (North China Electric Power Univ.,Beijing1 0 0 0 85,China);CONVERGENCE FACTOR OF THE ITERATIVE METHOD FOR SOLVING SADDLE POINT PROBLEMS[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;2000-03
2 Shao Xinhui Shen Hailong Li Changjun Zhang Tie (College of Science,Northeastern University,Shenyang,110004,China);GENERALIZED AOR METHOD FOR AUGMENTED SYSTEMS[J];Journal on Numerical Methods and Computer Applications;2006-04
【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 PAN Chun-ping(Zhejiang Industry Polytechnic College,Shaoxing 312000,China);The SSOR Iterative Algorithms for Large Sparse Saddle Point Problems[J];Computer Knowledge and Technology;2010-21
2 PAN Chun-ping1,WANG Hong-yu1,2(1-Zhejiang Industry Polytechnic College,Shaoxing 312000;2-Department of Mathematics,East China Normal University,Shanghai 200062);The Polynomial Acceleration of GSOR Iterative Algorithms for Large Sparse Saddle Point Problems[J];Chinese Journal of Engineering Mathematics;2011-03
3 PAN Chun-ping1,WANG Hong-yu1,2,ZHAO Wei-liang1(1.Dept.of Humanities and Social Sciences,Zhejiang Industry Polytechnic College,Shaoxing 312000,China)(2.Department of Mathematics,East China Normal University,Shanghai 200000,China);ON GENERALIZED SSOR ITERATIVE METHOD FOR SADDLE POINT PROBLEMS[J];Journal of Mathematics;2011-03
4 Zhao Jingyu Zhang Guofeng Chang Yanlei (School of Mathematics and statistics,Lanzhou University,Lanzhou 730000,China);A STRUCTURED METHOD FOR SOLVING THE AUGMENTED LINEAR SYSTEMS[J];Journal on Numerical Methods and Computer Applications;2009-02
5 Pan Chunping (Dept.of Humanities and Social Sciences,Zhejiang Industry Polytechnic College, Shaoxing 312000,Zhejiang,China) Wang Hongyu ((Dept.of Humanities and Social Sciences,Zhejiang Industry Polytechnic College, Shaoxing 312000,Zhejiang,China; Department of Mathematics,East China Normal University,Shanghai 200062,China);ON GENERALIZED PRECONDITIONED HERMITIAN AND SKEW-HERMITIAN SPLITTING METHODS FOR SADDLE POINT PROBLEMS[J];Journal on Numerical Methods and Computer Applications;2011-03
6 LI Qian-qian,CHANG Da-wei(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,P.R.C.);Generalized symmetic accelerated overrelaxation method and convergence theorem for the large and sparse augmented system[J];Journal of Southwest University for Nationalities(Natural Science Edition);2009-01
7 CHEN Jun-li,CHANG Da-wei(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,P.R.C.);Preconditioned simultaneous displacement (PSD) method for the problem of largescale sparse saddle point[J];Journal of Southwest University for Nationalities(Natural Science Edition);2010-03
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