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子空间上矩阵方程AX=B的亚正定与亚半正定解

The Positive Subdefinite and Semipositive Subdefinite Solutions of Matrix Equation AX=B on Subspace
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摘要 研究了矩阵方程AX=B在子空间Ω={x∈Rn|Gx=0,G∈Rk×n}上的亚正定及亚半正定解,给出了解存在的充分必要条件及其通解表达式。 The positive subdefinite and semipositive subdefinite solutions of matrix equation AX=B on subspace Ω={x∈Rn|Gx=0,G∈Rk×n} are discussed. Necessary and sufficient conditions for the existence of such solutions and their general forms are derived using the generalized inverses of matrices.
出处 《工程数学学报》 CSCD 北大核心 2003年第4期85-89,共5页 Chinese Journal of Engineering Mathematics
关键词 亚半正定阵 KRONECKER积 广义逆 亚正定阵 矩阵方程 通解 semipositive subdefinite (positive subdefinite) matrix kronecker product generalized inverses
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