Two improved classes of Broyden's methods for solving nonlinear systems of equations


Authors

Mohammad H. Al-Towaiq - Deparment of Mathematics and Statistics, Faculty of Science and Arts, Jordan University of Science and Technology, Irbid, Jordan. Yousef S. Abu hour - Deparment of Mathematics and Statistics, Faculty of Science and Arts, Jordan University of Science and Technology, Irbid, Jordan.


Abstract

In this paper, we propose two efficient algorithms based on Broyden’s methods by using the central finite difference and modification of Newton’s method for solving systems of nonlinear equations. The most significant features of these algorithms are their simplicity and excellent accuracy. Some numerical examples are given to test the validity of the proposed algorithms and for comparison reasons. Superior results show the efficiency and accuracy of the proposed algorithms and a tremendous improvements in Broyden’s methods.


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ISRP Style

Mohammad H. Al-Towaiq, Yousef S. Abu hour, Two improved classes of Broyden's methods for solving nonlinear systems of equations, Journal of Mathematics and Computer Science, 17 (2017), no. 1, 22-31

AMA Style

Al-Towaiq Mohammad H., hour Yousef S. Abu, Two improved classes of Broyden's methods for solving nonlinear systems of equations. J Math Comput SCI-JM. (2017); 17(1):22-31

Chicago/Turabian Style

Al-Towaiq, Mohammad H., hour, Yousef S. Abu. "Two improved classes of Broyden's methods for solving nonlinear systems of equations." Journal of Mathematics and Computer Science, 17, no. 1 (2017): 22-31


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