| 一类矩阵不定问题有解的条件 |
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| 引用本文： | 王文璞,彭振赟.一类矩阵不定问题有解的条件[J].计算技术与自动化,2010,29(3):53-55. |
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| 作者姓名： | 王文璞 彭振赟 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金项目，广西区自然科学基金项目 |
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| 摘 要： | 讨论矩阵不定型问题minX∈Rn×str（（C-AXB）TJ（C-AXB））。利用矩阵的Kronecker积,拉直算子和双曲QR分解,给出问题有解的充分必要条件,并在有解条件下给出解的一般表达式。
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| 关 键 词： | 矩阵 矩阵不定问题 Kronecker积 双曲QR分解 |
The Solvability Conditions for one Kind of Matrix Indefinite Problems |
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| WANG Wen-pu and PENG Zhen-yun.The Solvability Conditions for one Kind of Matrix Indefinite Problems[J].Computing Technology and Automation,2010,29(3):53-55. |
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| Authors: | WANG Wen-pu and PENG Zhen-yun |
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| Affiliation: | (Guilin University of Electronic Technology,School of Mathematics and Computational Science,Guilin 541004,China) |
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| Abstract: | In this paper,the matrix indefinite problem min X∈Rn×strC-AXBTJC-AXBhas been discussed.Using Kronecker Products,the vec Operator and the hyperbolic QR factorization of matrices,the necessary and sufficient conditions for problem exist solutions are given,and a general form of the solution set is presented when the problem is solvable. |
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| Keywords: | matrix matrix indefinite problem kronecker products hyperbolic QR factorization |
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