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Abstract: Different optimization approaches are explored to solve unconstrained minimization problems numerically in this paper. A classic optimization problem i.e., the Rosenbrock function is ...

ABSTRACT: A hybrid method of the Polak-Ribière-Polyak (PRP) method and the Wei-Yao-Liu (WYL) method is proposed for unconstrained optimization pro- blems, which possesses the following properties: i) ...

Abstract: There are interesting new algorithms which overcome the slow convergence near a minimum point of the standard steepest descent algorithm. For a convex quadratic function we have n-steps ...

The factoring of biprimes is proposed as a framework for exploring unconstrained optimization algorithms. A mapping from a given factoring problem to a positive degree four polynomial F is described.