Positive Definite of Hadamard Multiplication of Complex Matrix
Xu‐Guo Ye
Abstract
Xu‐Guo Ye
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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