On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications

Joint Authors

Legaz, M. J.
Bermúdez, C.
Amat, S.
Plaza, S.
Busquier, S.

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-08-15

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces.

An analysis of the convergence under Kantorovich-type conditions is proposed.

Some numerical experiments, where the analyzed methods present better behavior than some classical schemes, are presented.

These applications include the approximation of some quadratic and integral equations.

American Psychological Association (APA)

Amat, S.& Bermúdez, C.& Busquier, S.& Legaz, M. J.& Plaza, S.. 2012. On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-497594

Modern Language Association (MLA)

Amat, S.…[et al.]. On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-497594

American Medical Association (AMA)

Amat, S.& Bermúdez, C.& Busquier, S.& Legaz, M. J.& Plaza, S.. On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-497594

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-497594