Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Unified convergence criteria ensuring the convergence of inexact Newton method are also established.
Applications to some special cases such as the Kantorovich type conditions and γ-Conditions are provided and some well-known convergence theorems for Newton's method are obtained as corollaries.
American Psychological Association (APA)
Xu, Xiubin& Xiao, Yuan& Liu, Tao. 2012. Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-513438
Modern Language Association (MLA)
Xu, Xiubin…[et al.]. Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition. Abstract and Applied Analysis No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-513438
American Medical Association (AMA)
Xu, Xiubin& Xiao, Yuan& Liu, Tao. Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-513438
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513438