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A General Three-Step Class of Optimal Iterations for Nonlinear Equations
Joint Authors
Soleymani, Fazlollah
Afghani, Abtin
Karimi Vanani, Solat
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Many of the engineering problems are reduced to solve a nonlinear equation numerically, and as a result, an especial attention to suggest efficient and accurate root solvers is given in literature.
Inspired and motivated by the research going on in this area, this paper establishes an efficient general class of root solvers, where per computing step, three evaluations of the function and one evaluation of the first-order derivative are used to achieve the optimal order of convergence eight.
The without-memory methods from the developed class possess the optimal efficiency index 1.682.
In order to show the applicability and validity of the class, some numerical examples are discussed.
American Psychological Association (APA)
Soleymani, Fazlollah& Karimi Vanani, Solat& Afghani, Abtin. 2011. A General Three-Step Class of Optimal Iterations for Nonlinear Equations. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-473994
Modern Language Association (MLA)
Soleymani, Fazlollah…[et al.]. A General Three-Step Class of Optimal Iterations for Nonlinear Equations. Mathematical Problems in Engineering No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-473994
American Medical Association (AMA)
Soleymani, Fazlollah& Karimi Vanani, Solat& Afghani, Abtin. A General Three-Step Class of Optimal Iterations for Nonlinear Equations. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-473994
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473994