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四元数体上Hermite矩阵的最小化问题 被引量:2
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作者 袁仕芳 廖安平 雷渊 《数学物理学报(A辑)》 CSCD 北大核心 2009年第5期1298-1306,共9页
该文建立了四元数矩阵对的标准相关分解(CCD-Q).借助CCD-Q,GSVD-Q和有限维内积空间中的投影定理,该文得到了基于四元数矩阵方程AXB=C的Hermite矩阵最小化问题解的表达式.
关键词 四元数矩阵方程 最小化问题 CCD-Q gsvd-q
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Generalized Inverse Eigenvalue Problem for (P,Q)-Conjugate Matrices and the Associated Approximation Problem 被引量:1
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作者 DAI Lifang LIANG Maolin 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2016年第2期93-98,共6页
In this paper,the generalized inverse eigenvalue problem for the(P,Q)-conjugate matrices and the associated approximation problem are discussed by using generalized singular value decomposition(GSVD).Moreover,the ... In this paper,the generalized inverse eigenvalue problem for the(P,Q)-conjugate matrices and the associated approximation problem are discussed by using generalized singular value decomposition(GSVD).Moreover,the least residual problem of the above generalized inverse eigenvalue problem is studied by using the canonical correlation decomposition(CCD).The solutions to these problems are derived.Some numerical examples are given to illustrate the main results. 展开更多
关键词 generalized inverse eigenvalue problem least residual problem (P Q)-conjugate matrices generalized singular value decomposition (GSVD) canonical correlation decomposition (CCD) optimal approximation
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