2011Unpublished venueRequires access

Positive Definite of Hadamard Multiplication of Complex Matrix

Xu‐Guo Ye

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Abstract

In this paper,based on the theorem,we find that the product of complex positive definite matrix and Hermite positive definite matrix is complex positive definite matrix by expanding real symmetric positive definite matrix to Hermite positive definite matrix and expanding real positive definite matrix to complex positive definite matrix.Two corollaries have been introduced.These studies have definite academic value.

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What this paper is about

In this paper,based on the theorem,we find that the product of complex positive definite matrix and Hermite positive definite matrix is complex positive definite matrix by expanding real symmetric positive definite matrix to Hermite positive definite matrix and expanding real positive definite matrix to complex positive definite matrix.Two corollaries have been introduced.These studies have definite academic value.

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Available abstract

In this paper,based on the theorem,we find that the product of complex positive definite matrix and Hermite positive definite matrix is complex positive definite matrix by expanding real symmetric positive definite matrix to Hermite positive definite matrix and expanding real positive definite matrix to complex positive definite matrix.Two corollaries have been introduced.These studies have definite academic value.

Key concepts: Positive-definite matrix, Mathematics, Matrix (chemical analysis), Schur product theorem, Hilbert matrix, Complex Hadamard matrix, Hadamard product, Definite quadratic form

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