2008Basic Sciences Journal of Textile UniversitiesRequires access

Study on further generalized positive definite matrices

Quan Lu

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Abstract

Using the methods in researching the positive definite matrices and the generalized positive definite matrices,some necessary and sufficient conditions as well as some properties for the further generalized positive definite matrices were given.Furthermore,a special subset of further generalized definite matrices definite matrices was introduced.Meanwhile,some properties and determinant inequalities are obtained.

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What this paper is about

Using the methods in researching the positive definite matrices and the generalized positive definite matrices,some necessary and sufficient conditions as well as some properties for the further generalized positive definite matrices were given.Furthermore,a special subset of further generalized definite matrices definite matrices was introduced.Meanwhile,some properties and determinant inequalities are obtained.

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Available abstract

Using the methods in researching the positive definite matrices and the generalized positive definite matrices,some necessary and sufficient conditions as well as some properties for the further generalized positive definite matrices were given.Furthermore,a special subset of further generalized definite matrices definite matrices was introduced.Meanwhile,some properties and determinant inequalities are obtained.

Key concepts: Positive-definite matrix, Mathematics, Definite quadratic form, Pure mathematics, Matrix (chemical analysis), Applied mathematics, Eigenvalues and eigenvectors, Physics

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