Статия на проф. д.м.н. Иван Иванов е публикувана в списание Axioms (Web of Science):

Ivan G. Ivanov and Tonya Mateva

Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations

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Abstract

In this paper, based on Kou’s classical iterative methods with fifth-order of convergence, we propose new interval iterative methods for computing a real root of the nonlinear scalar equations. Some numerical experiments have executed with the program INTLAB in order to confirm the theoretical results. The computational results have described and compared with Newton’s interval method, Ostrowski’s interval method and Ostrowski’s modified interval method. We conclude that the proposed interval schemes are effective and they are comparable to the classical interval methods. Keywords: Kou’s interval method; Newton’s interval method; Ostrowski’s interval method; INTLAB; MATLAB