Talk:Sylvester's criterion

From Wikipedia, the free encyclopedia
Jump to: navigation, search

Hi, I was wondering if Sylvester's criterion applies to non-symmetric matrices as well. Can I conclude that a non-symmetric matrix is positive definite if the Sylvester's criterion is satisfied?

How does the Sylvester criterion work to show that a matrix is negative defined? I think it is if the principal minors are alternating between negative and positive (<, >, <, >, ...) then the matrix is negative-definite, but it would be nice to have it stated explicitly in the article. — Preceding unsigned comment added by (talk) 15:26, 9 May 2014 (UTC)