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Module 3 : Problem Discretization using Approximation Theory

Section 8 : Appendix: Necessary and Sufficient Conditions for Unconstrained Optimality

Definition 40 (Positive Semi-definite Matrix) : A $n\times n$ matrix $\QTR{bf}{A}$ is called positive semi-definite if for every we have
		---- (332)

Definition 41 (Negative Definite Matrix) : A $n\times n$ matrix $\QTR{bf}{A}$ is called negative definite if for every
		---- (333)
whenever

Definition 42 (Negative Semi-definite Matrix) : A $n\times n$ matrix $\QTR{bf}{A}$ is called negative semi-definite if for every we have
		---- (334)