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《Journal of Shaoyang University(Natural Science Edition)》 2018-05
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Parameter Iteration Method for Solving the Matrix Equation AXB~T+BXA~T=F

ZHANG Jie;TANG Jia;MA Changfeng;College of Mathematics and Informatics,Fujian Normal University;  
The parameter iterative method for obtaining the unique solution of the matrix equation AXB~T+BXA~T= F was dealt with.Especially,when A and B were symmetric positive definite matrices,through the matrix transformation and eigenvalue analysis of iterative matrix,the optimal parameter could be obtained.Furthermore,an iteration-correction method and an accelerated algorithm of parameter iteration were introduced.
【Fund】: 中国科学院战略性先导科技专项(B类)(XDB18010202);; 福建省自然科学基金项目(2016J01005)
【CateGory Index】: O241.6
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