On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We present a local convergence analysis of inexact Newton method for solving singular systems of equations.
Under the hypothesis that the derivative of the function associated with the singular systems satisfies a majorant condition, we obtain that the method is well defined and converges.
Our analysis provides a clear relationship between the majorant function and the function associated with the singular systems.
It also allows us to obtain an estimate of convergence ball for inexact Newton method and some important special cases.
American Psychological Association (APA)
Zhou, Fangqin. 2014. On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1049855
Modern Language Association (MLA)
Zhou, Fangqin. On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1049855
American Medical Association (AMA)
Zhou, Fangqin. On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1049855
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049855
