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| 摘要: |
| 本文研究了矩阵方程AXB + CY D=E 的三对角中心对称极小范数最小二乘解问题.利用矩阵的Kronecker 积和Moore-Penrose 广义逆方法, 得到了矩阵方程AXB + CY D=E 的三对角中心对称极小范数最小二乘解的表达式. |
| 关键词: 三对角中心对称矩阵 极小范数解 最小二乘解 Moore-Penrose广义逆 Kronecker积 |
| DOI： |
| 分类号:O241.6 |
| 基金项目: |
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| CENTROSYMMETRIC TRIDIAGONAL LEAST SQUARES SOLUTION OF THE MATRIX EQUATION AXB + CYD = E WITH THE LEAST NORM |
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PENG Xue-mei,ZHANG Ai-hua,ZHANG Zhi-qiang
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| Abstract: |
| In this paper, we investigate the centrosymmetric tridiagonal least squares solution of the matrix equation with the least norm. By the means of Moore-Penrose generalized inverse and Kronecker product, we obtain the expression of the centrosymmetric tridiagonal least squares solution of the matrix equation AXB + CYD = E with the least norm. |
| Key words: centrosymmetric tridiagonal matrix least norm solution least squares solution Moore-Penrose generalized inverse the Kronecker product |
