On Iterative Methods in Optimization

Henrietta Nkansah and Bismark Kwao Nkansah
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Henrietta Nkansah: Department of Mathematics, University of Cape Coast, Ghana
Bismark Kwao Nkansah: Department of Statistics, University of Cape Coast, Ghana

International Journal of Latest Technology in Engineering, Management & Applied Science, 2024, vol. 13, issue 11, 130-139

Abstract: The paper highlights a failure in the implementation of a recommendation for the modified Newton’s method using a Rosenbrock type of functions that have slow convergence with two minimum points as test functions. The study finds that a recommended procedure, if the Hessian at a point is not positive definite, may not lead to the desired optimal solution particularly when the initial point is not close enough to the expected solution. It has been demonstrated how to go round this problem. The results show that more than one technique may be required to determine all critical points of a given function.

Date: 2024
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