On geometric constructions of third order methods for multiple roots of nonlinear equations

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/8396

Title:	On geometric constructions of third order methods for multiple roots of nonlinear equations
Authors:	Cadenas Román, Carlos Eduardo
Keywords:	Geometric construction Third order methods Multiple roots Nonlinear equations Nonlinear algebraic or transcendental equations Single equations AMS subject classifications: 65H05
Issue Date:	2-abr-2018
Publisher:	International Scientific Publications and Consulting Services (ISPACS)
Citation:	Cadenas, C. (2018). On geometric constructions of third order methods for multiple roots of nonlinear equations. Communications in Numerical Analysis, 2018(1), pp.42-55.
Series/Report no.:	Communications in Numerical Analysis 2018 No.1, 2018
Abstract:	The object of the present work is to give geometric constructions of third order methods obtained from the Traub-Gander class for multiple roots when the multiplicity is known. Also, new families of methods for solving nonlinear equations of third order with multiple roots and their geometric construction are presented. Finally, several numerical examples to show the performance of some members of the families mentioned are presented.
URI:	http://hdl.handle.net/123456789/8396 doi:10.5899/2018/cna-00348
ISSN:	2193-4215
Appears in Collections:	(Ciencias Básicas) Articulos

Files in This Item:

File	Description	Size	Format
cecadenas.pdf	Cadenas, C. (2018). On geometric constructions of third order methods for multiple roots of nonlinear equations. Communications in Numerical Analysis, 2018(1), pp.42-55.	414,19 kB	Adobe PDF	View/Open