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R. Courant, “Variational Methods for the Solution of Problems of Equilibrium and Vibrations,” Bulletin of the American Mathematical Sociaty, Vol. 49, No. 1, 1943, pp. 1-23. doi:10.1090/S0002-9904-1943-07818-4

has been cited by the following article:

• TITLE: Decrease of the Penalty Parameter in Differentiable Penalty Function Methods

  AUTHORS: Roohollah Aliakbari Shandiz, Emran Tohidi

  KEYWORDS: Nonlinear Programming, Penalty Method, Penalty Parameter, Differentiable Penalty Methods

  JOURNAL NAME: Theoretical Economics Letters, Vol.1 No.1, June 1, 2011

  ABSTRACT: We propose a simple modification to the differentiable penalty methods for solving nonlinear programming problems. This modification decreases the penalty parameter and the ill-conditioning of the penalty method and leads to a faster convergence to the optimal solution. We extend the modification to the augmented Lagrangian method and report some numerical results on several nonlinear programming test problems, showing the effectiveness of the proposed approach.