| 矩阵方程AXA~H+CYC~H=F的最小二乘Hermitian和反Hermitian解(英文) |
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| 引用本文： | 钱爱林,吴又胜.矩阵方程AXA~H+CYC~H=F的最小二乘Hermitian和反Hermitian解(英文)[J].四川大学学报(自然科学版),2006,43(4):744-750. |
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| 作者姓名： | 钱爱林 吴又胜 |
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| 作者单位： | 咸宁学院数学系,湖北,咸宁,437005 |
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| 摘 要： | 运用矩阵对的典型分解得到了矩阵方程AXAH+C YCH=F的最小二乘Hermitian和反Hermitian解,并给出了此方程有解的充要条件.
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| 关 键 词： | 矩阵方程 Hermitian矩阵 skew-Hermitian矩阵 典型分解 |
| 文章编号： | 0490-6756（2006）04-0744-07 |
| 收稿时间： | 2005-01-20 |
| 修稿时间： | 2005-01-20 |
The Least-squares Hermitian (Skew-Hermitian) Solutions of Matrix Equation AXA~H+CYC~H=F |
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| QIAN Ai-lin,WU You-sheng.The Least-squares Hermitian (Skew-Hermitian) Solutions of Matrix Equation AXA~H+CYC~H=F[J].Journal of Sichuan University (Natural Science Edition),2006,43(4):744-750. |
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| Authors: | QIAN Ai-lin WU You-sheng |
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| Institution: | Department of Mathematics; Xianning College,Department of Mathematics; Xianning College |
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| Abstract: | The expressions of the least-square Hermitian(skew-Hermitian) solutions of equationAXAH+ CYCH= Fare obtained by applying the canonical decomposition(CCD) of matrixpairs.The necessary andsufficient conditionsforAXAH+CYCH=Fto have Hermitiansolutionare also obtained. |
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| Keywords: | matrix equation Hermitian matrix skew-Hermitian canonical correlation decompo-sition |
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