Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1090.65053
Grau, Miquel; Díaz-Barrero, José Luis
An improvement to Ostrowski root-finding method. (English)
[J] Appl. Math. Comput. 173, No. 1, 450-456 (2006). ISSN 0096-3003

Summary: An improvement to the iterative method based on the Ostrowski one to compute nonlinear equation solutions, which increases the local order of convergence is suggested. The adaptation of a strategy presented here gives a new iteration function with an additional evaluation of the function. It also shows a smaller cost if we use adaptive multi-precision arithmetic. The numerical results computed using this system with a floating point system representing 200 decimal digits support this theory.

MSC 2000:: *65H05 Single nonlinear equations (numerical methods)

Keywords: Nonlinear equations; Iterative methods; Order of convergence; Effective efficiency; Numerical results

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]