Solving nonlinear optimization via Nelder-Mead optimization method

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Soleymanpour Bakefayat Azhdar

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Paper Information

Journal: DECISIONS AND OPERATIONS RESEARCH Year:2018 | Volume:3 | Issue:1 Page(s): 1-10

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Information Journal Paper

Title

Solving nonlinear optimization via Nelder-Mead optimization method

Author(s)

Soleymanpour Bakefayat Azhdar | Issue Writer Certificate

Keywords

Nelder-Mead method

KKT optimal conditions

Unconstrained optimization

Nonlinear Programming

Abstract

In this paper, A innovative method designed to solving nonlinear optimization problems with convex object function and constrained. In this method, we define an cost function and we find variables to minimization of cost function. For create properly cost function we use K. K. T. optimal conditions. We used Nelder-Mead without derivative optimization method to minimization of cost function. When, dimensions of problem is about 10, application shows that efficiency of Nelder-Mead method is more than the other methods. Using new mathod is easier than the similar methods. By several examples efficiency of new method are verified.

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APA: Copy

Soleymanpour Bakefayat, Azhdar. (2018). Solving nonlinear optimization via Nelder-Mead optimization method. DECISIONS AND OPERATIONS RESEARCH, 3(1 ), 1-10. SID. https://sid.ir/paper/268877/en

Vancouver: Copy

Soleymanpour Bakefayat Azhdar. Solving nonlinear optimization via Nelder-Mead optimization method. DECISIONS AND OPERATIONS RESEARCH[Internet]. 2018;3(1 ):1-10. Available from: https://sid.ir/paper/268877/en

IEEE: Copy

Azhdar Soleymanpour Bakefayat, “Solving nonlinear optimization via Nelder-Mead optimization method,” DECISIONS AND OPERATIONS RESEARCH, vol. 3, no. 1 , pp. 1–10, 2018, [Online]. Available: https://sid.ir/paper/268877/en

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