Study of a Biparametric Family of Iterative Methods
Joint Authors
Vindel, Pura
Campos, B.
Cordero, Alicia
Torregrosa, Juan R.
Magreñán, Á. A.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials.
This biparametric family includes the c -iterative methods and the well-known Chebyshev-Halley family.
We find the analytical expressions for the fixed and critical points by solving 6-degree polynomials.
We use the free critical points to get the parameter planes and, by observing them, we specify some values of ( α , c ) with clear stable and unstable behaviors.
American Psychological Association (APA)
Campos, B.& Cordero, Alicia& Magreñán, Á. A.& Torregrosa, Juan R.& Vindel, Pura. 2014. Study of a Biparametric Family of Iterative Methods. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1013338
Modern Language Association (MLA)
Campos, B.…[et al.]. Study of a Biparametric Family of Iterative Methods. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1013338
American Medical Association (AMA)
Campos, B.& Cordero, Alicia& Magreñán, Á. A.& Torregrosa, Juan R.& Vindel, Pura. Study of a Biparametric Family of Iterative Methods. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1013338
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013338
