@misc{13071, author = {Trygve Nilssen}, title = {Weakly Positve Definite Matrices}, abstract = {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.}, year = {2005}, number = {2005-07}, publisher = {Simula Research Laboratory}, }