期刊论文详细信息
Applicable Analysis and Discrete Mathematics
AN EFFICIENT DERIVATIVE FREE ITERATIVE METHOD FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS
article
Janak Raj Sharma1  Himani Arora1 
[1] University of Belgrade, Faculty of Electrical Engineering Academic Mind
关键词: Systems of nonlinear equations;    iterative methods;    derivative free methods;    order of convergence;    computational efficiency;   
DOI  :  10.2298/AADM130725016S
学科分类:社会科学、人文和艺术(综合)
来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering
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【 摘 要 】

We present a derivative free method of fourth order convergence for solvingsystems of nonlinear equations. The method consists of two steps of whichfirst step is the well-known Traub’s method. First-order divided differenceoperator for functions of several variables and direct computation by Taylor’sexpansion are used to prove the local convergence order. Computational efficiency of new method in its general form is discussed and is compared withexisting methods of similar nature. It is proved that for large systems thenew method is more efficient. Some numerical tests are performed to compare proposed method with existing methods and to confirm the theoreticalresults.

【 授权许可】

Unknown   

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