The methods outlined here might give different results for the same matrix. Since both calculations involve round-off errors, each algorithm checks the definiteness of a matrix that is slightly different fromA. In practice, the use of a tolerance is a more robust comparison method, since eigenval...
How to know when a matrix is equal to zero? Verify, in general, that if a matrix is positive definite, then its eigenvalues are positive. If a is a symmetric matrix, what can you say about the definiteness of a^2? When is a^2 positive definite? how to determine singular matrix using...