On a two-step iterative process under generalized Lipschitz conditions for first-order divided differences |
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Authors: | S M Shakhno |
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Institution: | 1.Franko Lviv National University,Lviv,Ukraine |
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Abstract: | We study the convergence of the inexact chord method and Steffensen method for the solution of systems of nonlinear equations
under the generalized Lipschitz conditions for first-order divided differences. We consider methods with a check of the relative
discrepancy. The results obtained easily provide an estimate of the convergence sphere for inexact methods. For special cases,
these results coincide with the known ones. |
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Keywords: | |
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