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151229s2015 my eng |
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|a UniSZA
|e rda
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|a QA218
|b .K36 2015
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|a QA218
|b .K36 2015
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|a Kamilu Uba Kamfa ,
|e author
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|a Solving unconstrained optimization problems using modified conjugate gradient parameter with sufficient descent condition
|c Kamilu Uba Kamfa
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|c 2015
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|a xiii, 131 leaves ;
|c 30 cm.
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|a text
|2 rdacontent
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|a unmediated
|2 rdamedia
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|a volume
|2 rdacarrier
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|a Thesis (Degree of Master) - Universiti Sultan Zainal Abidin, 2015
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|a Includes bibliographical references (leaves 86-88)
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|a 1. Introduction -- 2. Mathematical review in optimization -- 3. Unconstrained optimization methods -- 4. A conjugate gradient methods -- 5. Numerical results and discussion -- 6. Conclusion and recommendations
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| 520 |
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|a Conjugate gradient (CG) methods are used for solving unconstrained optimization problem. Recently, various studies and modifications have been carrying out to improve these methods. This study proposed a new modification of Hestenes and Steifel (HS) parameter for solving unconstrained optimization problem using exact line searches. The modification is motivated by Hestenes and Steife1 formula, where the denominator is change while holding the numerator. This modified parameter fJk has been tested using seventeen standard optimization test problems utilizing MATLAB 7.10.0 subroutine programming and the outcome is recorded. The performance of this newly parameter based on the and the number of iteration and CPU time is compared with the performance of other CG parameters which include Fletcher and Reeves (FR , Polak, Ribiere and Polyak (pRP), Abdelrhaman, Mustafa, Rivaie and Ismail (AMRI) method. In fact, for each test problems four different initial points is considered ranges from the one near to the solution point to one further away. The numerical results have shown that this modified parameter performs better than FR, PRP and AMRI methods, while it holds its simplicity and possesses the global convergence properties.
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|a Universiti Sultan Zainal Abidin
|x Dissertations
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|a Universiti Sultan Zainal Abidin
|x Faculty of Informatics and Computing
|v Dissertations
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|a Conjugate gradient methods
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|a Dissertations, Academic
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|a Universiti Sultan Zainal Abidin .
|b Faculty of informatics and Computing
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|a 1000165545
|b Thesis
|c Reference
|e Tembila Campus
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