Talk:Definite quadratic form

This is a stub
I have rated this article as stub and added the stub template in the article for the following points are lacking: the related notion of positive definite matrix; the matrix of a definite quadratic form and the characterization of the positiveness through the sign of the determinants of the principal minors; the important examples of the square of the Euclidean norm and of the inner product; the square root of a positive definite form is a norm; an analytic function of several real variables is convex at a point if the term of degree 2 of its Taylor expansion is a positive definite quadratic form; ;he usage of all of this in optimization. etc. D.Lazard (talk) 11:14, 21 March 2015 (UTC)

Assessment comment
Substituted at 18:14, 17 July 2016 (UTC)

"Negative semidefinite" listed at Redirects for discussion
A discussion is taking place to address the redirect Negative semidefinite. The discussion will occur at Redirects for discussion/Log/2020 June 9 until a consensus is reached, and readers of this page are welcome to contribute to the discussion. 1234qwer1234qwer4 (talk) 14:36, 9 June 2020 (UTC)

"Positive and negative definite and semidefinite and indefinite" listed at Redirects for discussion
A discussion is taking place to address the redirect Positive and negative definite and semidefinite and indefinite. The discussion will occur at Redirects for discussion/Log/2020 June 9 until a consensus is reached, and readers of this page are welcome to contribute to the discussion. 1234qwer1234qwer4 (talk) 17:42, 9 June 2020 (UTC)

Suggestion
An important addition to this article would be to give some criteria for the coefficient of a quadratic form that determine when a form is positive or negative definite. Theorems by Sylvester come to mind. — Preceding unsigned comment added by Zorpoid (talk • contribs) 06:44, 30 September 2023 (UTC)