کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640288 | 1341269 | 2010 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: New matrix iterative methods for constraint solutions of the matrix equation AXB=CAXB=C New matrix iterative methods for constraint solutions of the matrix equation AXB=CAXB=C](/preview/png/4640288.png)
In this paper, two new matrix iterative methods are presented to solve the matrix equation AXB=CAXB=C, the minimum residual problem minX∈S‖AXB−C‖minX∈S‖AXB−C‖ and the matrix nearness problem minX∈SE‖X−X∗‖minX∈SE‖X−X∗‖, where SS is the set of constraint matrices, such as symmetric, symmetric RR-symmetric and (R,S)(R,S)-symmetric, and SESE is the solution set of above matrix equation or minimum residual problem. These matrix iterative methods have faster convergence rate and higher accuracy than the matrix iterative methods proposed in Deng et al. (2006) [13], Huang et al. (2008) [15], Peng (2005) [16] and Lei and Liao (2007) [17]. Paige’s algorithms are used as the frame method for deriving these matrix iterative methods. Numerical examples are used to illustrate the efficiency of these new methods.
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 3, 1 December 2010, Pages 726–735