A projection method and Kronecker product preconditioner for solving Sylvester tensor equations

作     者：CHEN Zhen LU LinZhang 

作者机构：School of Mathematical SciencesXiamen UniversityXiamen 361005China School of Mathematics and Computer ScienceGuizhou Normal UniversityGuiyang 550001China 

基　　金：supported by National Natural Science Foundation of China (Grant No.10961010) Science and Technology Foundation of Guizhou Province (Grant No. LKS03) 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2012年第55卷第6期

页      码：1281-1292页

摘      要：The preconditioned iterative solvers for solving Sylvester tensor equations are considered in this *** 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 *** 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 *** experiments are presented to show good performance of the approaches.

主 题 词：Sylvester tensor equation Schur decomposition projection method nearest Kronecker product(NKP) preconditioning 

学科分类：07[理学] 08[工学] 070104[070104] 0701[理学-数学类] 0801[工学-力学类] 

核心收录：

D　O　I：10.1007/s11425-012-4363-5

馆 藏 号：203417953...