Title :
Comments on "A procedure for the positive definiteness of forms of even order"
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
Abstract :
Hasan and Hasan (IEEE Trans. Automat. Control., Vol.41, p.615-17, 1996) give a necessary and sufficient condition for the positive definiteness of a quadratic programming problem. The purpose of this paper is to point out that the main result in the above-mentioned paper by is erroneous.
Keywords :
Hessian matrices; minimisation; quadratic programming; Lagrange multiplier theorem; even order forms; necessary and sufficient condition; positive definiteness; quadratic programming problem; Lagrangian functions; Quadratic programming; Sufficient conditions; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on