2009•Unpublished venueRequires access

Some criteria on the positive definiteness of the m-th Kronecker product of complex positive definite matrices

Zhuang Li-bin

Abstract

This paper discusses the properties of complex positive definite matrices and normal matrices.Based on the relations between the eigenvalues of H(A) and S(A),it obtains some sufficient conditions for m-th kronecker product of complex positive definite matrices to be positive definite.

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Key concepts: Positive-definite matrix, Positive definiteness, Kronecker product, Kronecker delta, Eigenvalues and eigenvectors, Mathematics, Product (mathematics), Pure mathematics

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