| 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,(3):53-55 |
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| 中文摘要:讨论矩阵不定型问题minX∈Rn×st(C－AXBTJC－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。 |
| 中文关键词:矩阵 矩阵不定问题 Kronecker积 双曲QR分解 |
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| The Solvability Conditions for one Kind of Matrix Indefinite Problems |
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| Abstract:In this paper, the matrix indefinite problem minX∈Rn×str(C－AXB)TJ(C－AXB))has 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. |
| keywords:matrix matrix indefinite problem kronecker products hyperbolic QR factorization |
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