Vol. 9, No. 2, 2014

Download this article
Download this article For screen
For printing
Recent Issues
Volume 13, Issue 2
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 2
Volume 11, Issue 1
Volume 10, Issue 2
Volume 10, Issue 1
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 1
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 1
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
Subscriptions
Editorial Board
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Contacts
Author Index
To Appear
 
ISSN: 2157-5452 (e-only)
ISSN: 1559-3940 (print)
This article is available for purchase or by subscription. See below.
A new class of secant-like methods for solving nonlinear systems of equations

José A. Ezquerro, Angela Grau, Miquel Grau-Sánchez and Miguel A. Hernández-Verón

Vol. 9 (2014), No. 2, 201–213
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.

PDF Access Denied

Warning: We have not been able to recognize your IP address 54.196.13.210 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.

Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
nonlinear equations, iterative methods, divided difference, secant method, Kurchatov method, secant-like method, order of convergence, efficiency index, computational efficiency
Mathematical Subject Classification 2010
Primary: 47H99, 65H10
Milestones
Received: 29 March 2012
Revised: 15 October 2012
Accepted: 20 February 2013
Published: 26 July 2014
Authors
José A. Ezquerro
Department of Mathematics and Computation
University of La Rioja
26004 Logroño
Spain
Angela Grau
Department of Applied Mathematics II
Technical University of Catalonia
08034 Barcelona
Spain
Miquel Grau-Sánchez
Department of Applied Mathematics II
Technical University of Catalonia
08034 Barcelona
Spain
Miguel A. Hernández-Verón
Department of Mathematics and Computation
University of La Rioja
26004 Logroño
Spain