Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627443 | Applied Mathematics and Computation | 2014 | 15 Pages |
Abstract
Using a new fixed point relation, the interval methods for the simultaneous inclusion of complex multiple zeros in circular complex arithmetic are constructed. Using the concept of the R-order of convergence of mutually dependent sequences, we present the convergence analysis for the total-step and the single-step methods with Schröder's and Halley-like corrections under computationally verifiable initial conditions. The suggested algorithms possess a great computational efficiency since the increase of the convergence rate is attained without additional calculations. Two numerical examples are given to demonstrate convergence characteristics of the proposed method.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
D.M. MiloÅ¡eviÄ, M.S. PetkoviÄ, M.R. MiloÅ¡eviÄ,