Abstract
In this chapter we provide a semilocal convergence analysis for Broyden’s method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
I.K. Argyros, in Computational Theory of Iterative Methods. Studies in Computational Mathematics, vol. 15 (Elseiver, New York, 2007)
I.K. Argyros, On the semiocal convergence of the secant method with regularly continuous divided differences. Commun. Appl. Nonlinear Anal. 19(2), 55–69 (2012)
I.K. Argyros, S. Hilout, Majorizing sequences for iterative methods. J. Comput. Appl. Math. 236(7), 1947–1960 (2012)
I.K. Argyros, S. Hilout, Computational Methods in Nonlinear Analysis (World Scientific Publ. Comp., New Jersey, 2013)
I. Argyros, D. Gonzales, Improved Semilocal Convergence of Broyden’s Method with Regularity Continuous Divided Differences (2015) (submitted)
C.G. Broyden, A class of methods for solving nonlinear simultaneous equations. Math. Comput. 19, 577–593 (1965)
A.M. Galperin, Broyden’s method for operators with regularly continuous divided differences. J. Kor. Math. Soc. 52(1), 43–65 (2015)
L.V. Kantorovich, G.P. Akilov, Functional Analysis (Pergamon Press, Oxford, 1982)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Anastassiou, G.A., Argyros, I.K. (2016). Broyden’s Method with Regularly Continuous Divided Differences. In: Intelligent Numerical Methods: Applications to Fractional Calculus. Studies in Computational Intelligence, vol 624. Springer, Cham. https://doi.org/10.1007/978-3-319-26721-0_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-26721-0_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-26720-3
Online ISBN: 978-3-319-26721-0
eBook Packages: EngineeringEngineering (R0)