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dc.contributor.authorGdawiec, Krzysztof-
dc.contributor.authorKotarski, Wiesław-
dc.contributor.authorLisowska, Agnieszka-
dc.identifier.citationAbstract and Applied Analysis, vol. 2015, Article ID 797594, 19 pages, (2015)pl_PL
dc.description.abstractIn this paper a survey of some modifications based on the classic Newton's and the higher order Newton-like root finding methods for complex polynomials are presented. Instead of the standard Picard's iteration several different iteration processes, described in the literature, that we call as non-standard ones, are used. Kalantari's visualizations of root finding process are interesting from at least three points of view: scientific, educational, and artistic. By combining different kinds of iterations, different convergence tests, and different colouring we obtain a great variety of polynomiographs. We also check experimentally that using complex parameters instead of real ones in multi-parameter iterations do not destabilize the iteration process. Moreover, we obtain nicely looking polynomiographs that are interesting from the artistic point of view. Real parts of the parameters alter symmetry, whereas imaginary ones cause asymmetric twisting of polynomiographs.pl_PL
dc.rightsUznanie autorstwa 3.0 Polska*
dc.subjectiteration processespl_PL
dc.subjectroot findingpl_PL
dc.titlePolynomiography Based on the Non-standard Newton-like Root Finding Methodspl_PL
dc.relation.journalAbstract and Applied Analysispl_PL
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