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Higher-order iterative methods by using Householders method for solving certain nonlinear equations |
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PP: 107-120 |
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Author(s) |
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Waseem Asghar Khan,
Muhammad Aslam Noor,
Adnan Rauf,
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Abstract |
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| In this paper, we suggest and analyze some new higher-order iterative methods by using
Householder’s method free from second derivative for solving nonlinear equations. Here we use new and
different technique for implementation of higher-order derivative of the function and derive new higherorder
predictor-corrector iterative methods free from second derivative. The efficiency index equals to
1/5 9 1.552. Several numerical examples are given to illustrate the efficiency and performance of these
new methods. |
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