Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space

Joint Authors

Hu, Jueliang
Wu, Qingbiao
Zhao, Yueqing
Lin, Rongfei

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-17

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations.

We present the corresponding error estimate.

To show the application of our theorems, two numerical examples are given.

American Psychological Association (APA)

Lin, Rongfei& Zhao, Yueqing& Wu, Qingbiao& Hu, Jueliang. 2014. Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-473914

Modern Language Association (MLA)

Lin, Rongfei…[et al.]. Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-473914

American Medical Association (AMA)

Lin, Rongfei& Zhao, Yueqing& Wu, Qingbiao& Hu, Jueliang. Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-473914

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-473914