Further Researches on Generalized Positive Definite Matrices
Ting‐Zhu Huang
Abstract
Ting‐Zhu Huang
Abstract
In this paper,some new basic properties of generalized positive definite matrices are obtained.Based on them,results about relationship between generalized positive definite matrices and H-matrices,M-matrices are presented.Finally,the corresponding determinant inequalities are generalized and improved.
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In this paper,some new basic properties of generalized positive definite matrices are obtained.Based on them,results about relationship between generalized positive definite matrices and H-matrices,M-matrices are presented.Finally,the corresponding determinant inequalities are generalized and improved.
Key concepts: Positive-definite matrix, Mathematics, Pure mathematics, Definite quadratic form, Combinatorics, Eigenvalues and eigenvectors, Physics, Quadratic equation