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2014 A new class of secant-like methods for solving nonlinear systems of equations
José Ezquerro, Angela Grau, Miquel Grau-Sánchez, Miguel Hernández
Commun. Appl. Math. Comput. Sci. 9(2): 201-213 (2014). DOI: 10.2140/camcos.2014.9.201

Abstract

Applying twice an idea of Hernández and Rubio (2002) for constructing a one-parameter family of secant-like methods, we define a two-parameter family of secant-like methods for solving nonlinear systems of equations. We analyze the efficiency of this new family and conclude that the Kurchatov method, which is one member of the family, is the most efficient. We illustrate this with Troesch’s problem.

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José Ezquerro. Angela Grau. Miquel Grau-Sánchez. Miguel Hernández. "A new class of secant-like methods for solving nonlinear systems of equations." Commun. Appl. Math. Comput. Sci. 9 (2) 201 - 213, 2014. https://doi.org/10.2140/camcos.2014.9.201

Information

Received: 29 March 2012; Revised: 15 October 2012; Accepted: 20 February 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1311.65057
MathSciNet: MR3326137
Digital Object Identifier: 10.2140/camcos.2014.9.201

Subjects:
Primary: 47H99, 65H10

Rights: Copyright © 2014 Mathematical Sciences Publishers

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Vol.9 • No. 2 • 2014
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