Semilocal Convergence with R-Order Three Theorems for the Chebyshev Method and Its Modifications

Zhanlav Tugal () and Khongorzul Dorjgotov
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Zhanlav Tugal: National University of Mongolia
Khongorzul Dorjgotov: National University of Mongolia

A chapter in Optimization, Simulation, and Control, 2013, pp 331-345 from Springer

Abstract: Abstract In this chapter we consider some modifications of the Chebyshev method that are free from second derivative and prove semilocal convergence theorems for these modifications as well as for the Chebyshev method. These two modifications can be considered as a generalization of some well-known iterative methods.

Keywords: Chebyshev method; Convergence; Nonlinear equations (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-5131-0_21

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DOI: 10.1007/978-1-4614-5131-0_21

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