2009•Unpublished venueRequires access

The Positive Definiteness of Kronecker Product of Complex Positive Definite Matrices

Wan Wen-ting

Abstract

The complex positive definite matrix is Hermitian positive definite matrix of generalize.Based on the well-known properties of the Kronecker product,the positive definiteness of Kronecker product of complex positive definite matrices are discussed by using eigenvalue of matrices in this paper.A necessary and sufficient condition for the Kronecker product of two complex positive definite matrices to be complex positive definite is given.

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Key concepts: Kronecker product, Positive-definite matrix, Positive definiteness, Kronecker delta, Mathematics, Hermitian matrix, Product (mathematics), Matrix (chemical analysis)