A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations

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	A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations
	Bai, ZZ
	1999
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	10 期号:2 页码:169-186
摘要	A class of modified block SSOR preconditioners is presented for solving symmetric positive definite systems of linear equations, which arise in the hierarchical basis finite element discretizations of the second order self-adjoint elliptic boundary value problems. This class of methods is strongly related to two level methods, standard multigrid methods, and Jacobi-like hierarchical basis methods. The optimal relaxation factors and optimal condition numbers are estimated in detail. Theoretical analyses show that these methods are very robust, and especially well suited to difficult problems with rough solutions, discretized using highly nonuniform, adaptively refined meshes.
关键词	symmetric positive definite linear system block SSOR iteration preconditioner hierarchical basis discretization
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000078800500003
出版者	BALTZER SCI PUBL BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14841
专题	中国科学院数学与系统科学研究院
作者单位	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ. A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,1999,10(2):169-186.
APA	Bai, ZZ.(1999).A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations.ADVANCES IN COMPUTATIONAL MATHEMATICS,10(2),169-186.
MLA	Bai, ZZ."A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations".ADVANCES IN COMPUTATIONAL MATHEMATICS 10.2(1999):169-186.