Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces

Joint Authors

Zhao, Yueqing
Khan, Yasir
Šmarda, Zdenĕk
Wu, Qingbiao
Lin, Rongfei

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-31

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.

The error estimate is determined to demonstrate the efficiency of our approach.

The obtained results are illustrated with three examples.

American Psychological Association (APA)

Lin, Rongfei& Zhao, Yueqing& Šmarda, Zdenĕk& Khan, Yasir& Wu, Qingbiao. 2013. Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-508447

Modern Language Association (MLA)

Lin, Rongfei…[et al.]. Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-508447

American Medical Association (AMA)

Lin, Rongfei& Zhao, Yueqing& Šmarda, Zdenĕk& Khan, Yasir& Wu, Qingbiao. Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-508447

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-508447