کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629257 | 1340576 | 2013 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems](/preview/png/4629257.png)
In this paper, the solvability conditions and the explicit expressions of the generalized bisymmetric and bi-skew-symmetric solutions of the matrix equation AX=BAX=B are respectively established by applying two methods. Then the maximal and minimal ranks of the solutions are derived. If the solvability conditions are not satisfied, the generalized bisymmetric and bi-skew-symmetric least squares solutions of the matrix equation are considered, and the generalized bisymmetric and bi-skew-symmetric least squares solutions with the minimum norm are also obtained. In addition, two algorithms are provided to compute the generalized bi (skew-) symmetric least squares solution, and some examples are given to illustrate that the algorithms are feasible.
Journal: Applied Mathematics and Computation - Volume 219, Issue 19, 1 June 2013, Pages 9872–9884