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Modified Householder iterative method for nonlinear equations
Noor K.I., Noor M.A.,
Published in
Volume: 190
Issue: 2
Pages: 1534 - 1539
In this paper, we suggest and analyze a new two-step predictor-corrector type iterative method for solving nonlinear equations of the type f (x) = 0. This new method includes the two-step Newton method as a special case. We show that this new two-step method is a sixth-order convergent method. Several examples are given to illustrate the efficiency of this new method and its comparison with other sixth-order methods. This method can be considered as a significant improvement of the Newton method and its variant forms. © 2007 Elsevier Inc. All rights reserved.
About the journal
JournalApplied Mathematics and Computation
Open AccessNo