| 任意除环上一矩阵方程组的一般解与中心和反中心对称解 |
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| 引用本文： | 秦建国,宋光艾.任意除环上一矩阵方程组的一般解与中心和反中心对称解[J].数学季刊,2006,21(1):66-70. |
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| 作者姓名： | 秦建国 宋光艾 |
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| 作者单位： | Department of Information and Computer Science，Zhengzhou Light Industry Institute，Zhengzhou 450002，China;School of Mathematics and Information，Business Administration University of Shandong，Yantai 264005，China. |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10471085) |
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| 摘 要： | Necessary and sufficient conditions are given for the existence of the general solution, the centrosymmetric solution, and the centroskewsymmetric solution to a system of linear matrix equations over an arbitrary skew field. The representations of such the solutions of the system are also derived.
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| 关 键 词： | 矩阵方程系统 内逆矩阵 均衡矩阵 反称域 |
The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field |
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| QIN Jian-guo,SONG Guang-ai.The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field[J].Chinese Quarterly Journal of Mathematics,2006,21(1):66-70. |
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| Authors: | QIN Jian-guo SONG Guang-ai |
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| Institution: | [1]Department of Information and Computer Science, Zhcngzho~; Light Industry Institute, Zhengzhou450002, China [2]School of Mathematics and Information, Business Administration University of Shan-dong, Yantai 264005, China |
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| Abstract: | Necessary and sufficient conditions are given for the existence of the general solution, the centrosymmetric solution, and the centroskewsymmetric solution to a system of linear matrix equations over an arbitrary skew field. The representations of such the solutions of the system are also derived. |
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| Keywords: | system of matrix equations inner inverse of a matrix reflexive inverse of a matrix centro (skew) symmetric matrix skew field |
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