Linked from

The 3 pages that link to Sylvester's criterion, each with the reason it gives.

• Hessian matrixRelated: It classifies local curvature through positive definiteness of the Hessian.

• Positive-definite matrixRelated: It tests positive definiteness using determinants rather than evaluating the quadratic form.

• Sylvester's law of inertiaCompared with: It tests positive definiteness, while the law classifies all three signs of a form.