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R. H. Byrd, N. I. M. Gould, J. Nocedal and R. A. Waltz, “An Algorithm for Nonlinear Optimization Using Linear Programming and Equality Constrained Subproblems,” Mathematical Programming, Vol. 100, No. 1, 2004, pp. 27-48.

has been cited by the following article:

• 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.