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	A projection method and Kronecker product preconditioner for solving Sylvester tensor equations
	Chen Zhen ; Lu LinZhang ; Lu LZ(卢琳璋)
	2012-06
关键词	Sylvester tensor equation Schur decomposition projection method nearest Kronecker product (NKP) preconditioning
英文摘要	The preconditioned iterative solvers for solving Sylvester tensor equations are considered in this paper. By fully exploiting the structure of the tensor equation, we propose a projection method based on the tensor format, which needs less flops and storage than the standard projection method. The structure of the coefficient matrices of the tensor equation is used to design the nearest Kronecker product (NKP) preconditioner, which is easy to construct and is able to accelerate the convergence of the iterative solver. Numerical experiments are presented to show good performance of the approaches.; National Natural Science Foundation of China [10961010]; Science and Technology Foundation of Guizhou Province [LKS[2009]03]
语种	英语
出版者	SCIENCE PRESS
内容类型	期刊论文
源URL	[http://dx.doi.org/10.1007/s11425-012-4363-5]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen Zhen,Lu LinZhang,Lu LZ. A projection method and Kronecker product preconditioner for solving Sylvester tensor equations[J],2012.
APA	Chen Zhen,Lu LinZhang,&卢琳璋.(2012).A projection method and Kronecker product preconditioner for solving Sylvester tensor equations..
MLA	Chen Zhen,et al."A projection method and Kronecker product preconditioner for solving Sylvester tensor equations".(2012).

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