2009•Journal of Shenyang Normal UniversityRequires access

Some New Results of Positive Definite Matrices

Yue Gui-xin

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Abstract

It is important that a matrix is positive definited in many domain.In this paper,we introduce some rules and inequality relation about an n-square real symmetric positive definite matrix.Based on that we obtain that an n-square real positive definite matrix is symmetric.In particular,a to use method that an n-square real symmetric matrix is not positive definite is introduced.This method is very simple and convinient to use.

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What this paper is about

It is important that a matrix is positive definited in many domain.In this paper,we introduce some rules and inequality relation about an n-square real symmetric positive definite matrix.Based on that we obtain that an n-square real positive definite matrix is symmetric.In particular,a to use method that an n-square real symmetric matrix is not positive definite is introduced.This method is very simple and convinient to use.

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Available abstract

It is important that a matrix is positive definited in many domain.In this paper,we introduce some rules and inequality relation about an n-square real symmetric positive definite matrix.Based on that we obtain that an n-square real positive definite matrix is symmetric.In particular,a to use method that an n-square real symmetric matrix is not positive definite is introduced.This method is very simple and convinient to use.

Key concepts: Positive-definite matrix, Mathematics, Square matrix, Matrix (chemical analysis), Square (algebra), Symmetric matrix, Simple (philosophy), Domain (mathematical analysis)

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