| 矩阵方程AXB=C的反对称解和极小范数反对称解 |
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| 引用本文： | 于蕾,张凯院. 矩阵方程AXB=C的反对称解和极小范数反对称解[J]. 数学的实践与认识, 2007, 37(8): 145-151 |
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| 作者姓名： | 于蕾 张凯院 |
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| 作者单位： | 西北工业大学,应用数学系,陕西,西安,710072 |
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| 摘 要： | 建立了求矩阵方程AXB=C反对称解的迭代方法.使用该方法不仅能够判断反对称解的存在性,而且在有反对称解时,能够在有限步迭代计算之后得到反对称解.选取特殊的初始矩阵,可求得极小范数反对称解.
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| 关 键 词： | 矩阵方程 反对称解 极小范数反对称解 迭代方法 |
| 修稿时间： | 2004-10-30 |
An Iteration Method for the Anti-symmetric Solutions and Least-norm Solution of Matrix Equation AXB=C |
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| YU Lei,ZHANG Kai-yuan. An Iteration Method for the Anti-symmetric Solutions and Least-norm Solution of Matrix Equation AXB=C[J]. Mathematics in Practice and Theory, 2007, 37(8): 145-151 |
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| Authors: | YU Lei ZHANG Kai-yuan |
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| Abstract: | An iteration method is constructed to solve the matrix equation AXB=C over anti-symmetric X.By this iteration method,the solvability of the equation over anti-symmetric X can be determined automatically,when the equation is consistent over anti-symmetric X,its least-norm anti-symmetric solution can be obtained by choosing a special kind of initial iteration matrix. |
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| Keywords: | matrix equation anti-symmetric solution least-norm anti-symmetric solution Iteration method |
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