Journal of Jilin University Science Edition
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ZHOU Shuo, HAN Minghua, JI Benming
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Using the singular value decomposition (SVD) and quotient singular value decomposition (QSVD) of a matrix and matrix pair, the authors established the necessary and sufficient conditions for the existence of the generalized reflexive solutions and the expressions for the inverse generalized eigenvalue problem of a matrix under a submatrix constraint. Moreover, the optimal approximation problem to a given matrix in the solution set was considered, and the optimal approximation generalized reflexive solution was obtained, and the perturbation analysis was made.
Key words: submatrix constraint, inverse generalized eigenvalue problem, generalized reflexive solutions, optimal approximation, perturbation analysis
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ZHOU Shuo, HAN Minghua, JI Benming. Inverse Generalized Eigenvalue Problem for GeneralizedReflexive Matrices under a Submatrix Constraint[J].Journal of Jilin University Science Edition, 2013, 51(06): 1029-1036.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2013/V51/I06/1029
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