线性流形上矩阵方程AXA^T=B的双反对称解 |
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引用本文: | 张华珍.线性流形上矩阵方程AXA^T=B的双反对称解[J].郴州师范高等专科学校学报,2009(5):25-28. |
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作者姓名: | 张华珍 |
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作者单位: | 湘西民族职业技术学院,湖南吉首416000 |
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摘 要: | 利用矩阵对的商的奇异值分解研究了线性流形上矩阵方程AXA^T=B双反对称解.
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关 键 词: | 双反对称矩阵 奇异值分解 商奇异值分解 |
Linear Popular on the Matrix Equation AXA^T = B of the Anti-bisymmetric Matrices |
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Institution: | ZHANG Hua- zhen(National Vocational and Technical college in Xiangxi, Jishou 416000, China) |
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Abstract: | consider the following questions: Problem Ⅰ Given A ∈ R^m×m, B ∈ Rm×m find X ∈ S such that AXA^T = S. Problem Ⅱ Given X∈Rn×n ,find X^* ∈SE, such that || X-X^* || = min A↓X∈SE || X - X^* || ,where SE is the solution set of Problem Ⅰ . |
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Keywords: | anti-bisymmetric matrices SVD QSVD |
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