A Note on the “Constructing” of Nonstationary Methods for Solving Nonlinear Equations with Raised Speed of Convergence

Kyurkchiev, Nikolay, and Iliev, Anton. "A Note on the “Constructing” of Nonstationary Methods for Solving Nonlinear Equations with Raised Speed of Convergence." Serdica Journal of Computing 3.1 (2009): 47-74. <http://eudml.org/doc/11443>.

@article{Kyurkchiev2009,
abstract = {This paper is partially supported by project ISM-4 of Department for Scientific Research, “Paisii Hilendarski” University of Plovdiv.In this paper we give methodological survey of “contemporary methods” for solving the nonlinear equation f(x) = 0. The reason for this review is that many authors in present days rediscovered such classical methods. Here we develop one methodological schema for constructing nonstationary methods with a preliminary chosen speed of convergence.},
author = {Kyurkchiev, Nikolay, Iliev, Anton},
journal = {Serdica Journal of Computing},
keywords = {Nonlinear Equations; Finite Difference Method; Multi-Point Method; Nonstationary Procedure; Order of Convergence; single nonlinear equations; finite difference method; multi-point method; nonstationary procedure; higher order of convergence},
language = {eng},
number = {1},
pages = {47-74},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Note on the “Constructing” of Nonstationary Methods for Solving Nonlinear Equations with Raised Speed of Convergence},
url = {http://eudml.org/doc/11443},
volume = {3},
year = {2009},
}

TY - JOUR
AU - Kyurkchiev, Nikolay
AU - Iliev, Anton
TI - A Note on the “Constructing” of Nonstationary Methods for Solving Nonlinear Equations with Raised Speed of Convergence
JO - Serdica Journal of Computing
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 3
IS - 1
SP - 47
EP - 74
AB - This paper is partially supported by project ISM-4 of Department for Scientific Research, “Paisii Hilendarski” University of Plovdiv.In this paper we give methodological survey of “contemporary methods” for solving the nonlinear equation f(x) = 0. The reason for this review is that many authors in present days rediscovered such classical methods. Here we develop one methodological schema for constructing nonstationary methods with a preliminary chosen speed of convergence.
LA - eng
KW - Nonlinear Equations; Finite Difference Method; Multi-Point Method; Nonstationary Procedure; Order of Convergence; single nonlinear equations; finite difference method; multi-point method; nonstationary procedure; higher order of convergence
UR - http://eudml.org/doc/11443
ER -