A multi-step class of iterative methods for nonlinear systems |
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Authors: | Fazlollah Soleymani Taher Lotfi Parisa Bakhtiari |
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Institution: | 1. Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, Iran 2. Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
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Abstract: | In this article, the numerical solution of nonlinear systems using iterative methods are dealt with. Toward this goal, a general class of multi-point iteration methods with various orders is constructed. The error analysis is presented to prove the convergence order. Also, a thorough discussion on the computational complexity of the new iterative methods will be given. The analytical discussion of the paper will finally be upheld through solving some application-oriented problems. |
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