The Davidon Fletcher and Powel Method Tested on Quadratic Functions
Awatif M. A. Elsiddieg

Awatif M. A. Elsiddieg, Department of Mathematical Sciences, Elneilain University Math, Khartoum Sudan. (Present address) Prince Sattam Bin Abdul-Aziz University Faculty of Science & Humanities Studies Math. Dept. Hotat Bani –Tamim P. O .Box 13 Kingdom of Saudi Arabia.
Manuscript received on October 01, 2015. | Revised Version Manuscript Received on October 06, 2015. | Manuscript published on October 20, 2015. | PP: 1-10 | Volume-1 Issue-10, October 2015 
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Abstract: In this work we give a detailed look to the DFP method for solving unconstrained optimization problems. Section( 0 ), shows the history and developments of the method . Section (1), general theory of the problem is described , constricting on the practical side in the description . Section (2), Newton’s method is described . It constitute a solid base, both theoretical and practical , for the class of methods known as Quasi –Newton method. From this class comes the DFP method is described in section (3) . Detailed result on the DFP are shown in this work .Section (4) shows a practical implementation of the DFP method on quadratic function to test the theoretical results shown in the work.
Keywords: solving unconstrained optimization, described, constricting, theoretical and practical.