Positive definite matrices are a special kind of matrix in matrix theory, it occupies very important position, is also the important content of quadratic theory, and study the positive definite matrix judge method has important theoretical significance and application value. This thesis aims to explore the positive definite matrix determination methods, first simply introduced the definition and the positive definite matrix nature; Secondly introduced classic real symmetric matrices positive definite judge method: definition method, is inertial index method, matrix contract law, order the master type method and the eigenvalue method. And again the real symmetric matrices is qualitative extended to a general Hermitian matrix matrix and discussed in detail, and it is qualitative determination method, in order to achieve a system to understand is qualitative judgement matrix method purpose.
Positive definite matrix: making definite matrix