KnowraPositive-definite matrixLinked fromLinked fromThe 8 pages that link to Positive-definite matrix, each with the reason it gives.All 8Related 6Narrower topic 2Hessian matrixRelated: Positive definiteness signals upward curvature in every direction.Symmetric matrixRelated: Positive definiteness is a key additional property in optimization and statistics.Sylvester's law of inertiaRelated: Positive definiteness is the special case in which every diagonal sign is positive.Sylvester's criterionNarrower topic: This is the matrix property the determinant tests characterize.Ellipsoid methodRelated: The shape matrix defining an ellipsoid must remain positive definite through the update formulas.Kantorovich inequalityNarrower topic: The matrix form is a standard setting for the inequality and its inverse.Sign (mathematics)Related: Its defining condition requires an entire family of quadratic values to be positive.Successive over-relaxationRelated: For symmetric positive-definite systems, SOR converges when its relaxation parameter lies between zero and two.