Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483704 | Journal of the Egyptian Mathematical Society | 2013 | 9 Pages |
Abstract
Based on the fourth-order method of Liu et al. [10], eighth-order three-step iterative methods without memory, which are totally free from derivative calculation and reach the optimal efficiency index are presented. The extension of one of the methods for multiple zeros without the knowledge of multiplicity is presented. Further accelerations will be provided through the concept of with memory iteration methods. Moreover, it is shown by way of illustration that the novel methods are useful on a series of relevant numerical problems when high precision computing is required.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
F. Soleymani,