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

In: Optimization, Simulation, and Control

Author

Listed:
  • Zhanlav Tugal

    (National University of Mongolia)

  • Khongorzul Dorjgotov

    (National University of Mongolia)

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.

Suggested Citation

  • Zhanlav Tugal & Khongorzul Dorjgotov, 2013. "Semilocal Convergence with R-Order Three Theorems for the Chebyshev Method and Its Modifications," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & E. N. Pistikopoulos (ed.), Optimization, Simulation, and Control, edition 127, pages 331-345, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-5131-0_21
    DOI: 10.1007/978-1-4614-5131-0_21
    as

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