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| 摘要: |
| 给出O-广义(反)对称矩阵、O-广义正交矩阵的定义,研究了它们的性质及两者之间的关系,特别将正交矩阵的广义Gayley分解推广到了O-广义正交矩阵上;利用两者的关系给出了一种矩阵方程的解及解的表示式 获得了许多新结果 |
| 关键词: 全转置矩阵 O-对称矩阵 O-广义正交矩阵 矩阵方程 解 |
| DOI： |
| 分类号: |
| 基金项目: |
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| A New Generalization of the Symmetric Matrix and Orthogonal Matrix and Their Application |
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GUO Wei
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| Abstract: |
| In this paper,the o-generalized(anti) symmetric matrix and o-generlized orthogonal matrix are defined,and their properties and relations are discussed,especially,the generalized Cayley decomposotion of orthogonalmatrix is extended to o-generalized orthogonal matrix... |
| Key words: full-transposed matrix o-generalized symmetric matrix o-generalized orthogonal matrix matrix equation solution |
