On a Convex Acceleration of Newton's Method

J. A. Ezquerro and M. A. Hernández
Additional contact information
J. A. Ezquerro: University of La Rioja
M. A. Hernández: University of La Rioja

Journal of Optimization Theory and Applications, 1999, vol. 100, issue 2, No 4, 326 pages

Abstract: Abstract In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided.

Keywords: Nonlinear equations; convex acceleration of Newton's method; Newton–Kantorovich assumptions; majorizing sequences (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1023/A:1021730118905 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:100:y:1999:i:2:d:10.1023_a:1021730118905

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1023/A:1021730118905

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().