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

机译:拟正定矩阵的乘积和Schur定理的推广的充要条件

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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.
机译:准正定矩阵是正定矩阵的推广。本文针对两个拟正定矩阵的Kronecker积和Hadamard积,获得了拟正定矩阵的充要条件,并将正定矩阵Hadamard积的Schur成果推广到拟正定矩阵。理论。

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