|Authors||T. K. Nilssen|
|Title||Weakly Positve Definite Matrices|
|Project(s)||No Simula project|
|Publication Type||Technical reports|
|Year of Publication||2005|
|Publisher||Simula Research Laboratory|
A weakly positive definite matrix is defined to be a matrix which can be written as a product of two positive definite matrices. This paper proves that a matrix is weakly positive definite if and only if the real eigenvalues are positive. The main components of the proof are Schur decomposition and mathematical induction.