کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642416 | 1341342 | 2008 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB=CAXB=C An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB=CAXB=C](/preview/png/4642416.png)
In this paper, an iterative method is constructed to solve the linear matrix equation AXB=CAXB=C over skew-symmetric matrix X . By the iterative method, the solvability of the equation AXB=CAXB=C over skew-symmetric matrix can be determined automatically. When the equation AXB=CAXB=C is consistent over skew-symmetric matrix X , for any skew-symmetric initial iterative matrix X1X1, the skew-symmetric solution can be obtained within finite iterative steps in the absence of roundoff errors. The unique least-norm skew-symmetric iterative solution of AXB=CAXB=C can be derived when an appropriate initial iterative matrix is chosen. A sufficient and necessary condition for whether the equation AXB=CAXB=C is inconsistent is given. Furthermore, the optimal approximate solution of AXB=CAXB=C for a given matrix X0X0 can be derived by finding the least-norm skew-symmetric solution of a new corresponding matrix equation AX˜B=C˜. Finally, several numerical examples are given to illustrate that our iterative method is effective.
Journal: Journal of Computational and Applied Mathematics - Volume 212, Issue 2, 1 March 2008, Pages 231–244