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Zbl 1116.65056
Noor, Muhammad Aslam
New iterative schemes for nonlinear equations. (English)
[J] Appl. Math. Comput. 187, No. 2, 937-943 (2007). ISSN 0096-3003

Summary: We suggest and analyze a new iterative method for solving nonlinear equations by using a new decomposition method. We also discuss the convergence criteria of these iterative methods. Several numerical examples are given to illustrate the efficiency and performance of the new methods. These new iterative methods may be viewed as an extension and generalization of the existing methods for solving nonlinear equations.
MSC 2000:
*65H05 Single nonlinear equations (numerical methods)

Keywords: three-step methods; Newton method; convergence; iterative schemes; numerical examples; decomposition method

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