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A Necessary and Sufficient Condition for Products of Quasi-Positive Definite Matrices and Generalization of Schur's Theorem

A Necessary and Sufficient Condition for Products of Quasi-Positive Definite Matrices and Generalization of Schur's Theorem
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摘要 A quasi positive definite matrix is the generalization of a positive definite matrix. A necessary and sufficient condition of quasi positive definite matrix is obtained in this paper for the Kronecker product and Hadamard product of two quasi positive definite matrices, and Schur's achievements in Hadamard product of the positive definite matrix is generalized to quasi positive definite matrix theory. A quasi positive definite matrix is the generalization of a positive definite matrix. A necessary and sufficient condition of quasi positive definite matrix is obtained in this paper for the Kronecker product and Hadamard product of two quasi positive definite matrices, and Schur's achievements in Hadamard product of the positive definite matrix is generalized to quasi positive definite matrix theory.
出处 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2002年第3期53-56,69,共5页 中国邮电高校学报(英文版)
关键词 quasi positive definite matrix kronecker product hadamard product hermite matrix quasi positive definite matrix kronecker product hadamard product hermite matrix
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