TITLE:
Improved Conditions for the Existence and Uniqueness of Solutions to the General Equality Constrained Quadratic Programming Problem
AUTHORS:
Amadu Fullah Kamara, Mohamed Abdulai Koroma, Mujahid Abd Elmjed M.-Ali
KEYWORDS:
Hessian Matrix; Global Solutions; Equality Constrained Quadratic Programming; Existence and Uniqueness of Solutions; Lagrangian Methods; Schur Complement Methods
JOURNAL NAME:
Open Journal of Optimization,
Vol.1 No.2,
December
31,
2012
ABSTRACT: This paper presents an approach that directly utilizes the Hessian matrix to investigate the existence and uniqueness of global solutions for the ECQP problem. The novel features of this proposed algorithm are its uniqueness and faster rate of convergence to the solution. The merit of this algorithm is base on cost, accuracy and number of operations.