Name: An error analysis for the secant method
Creator: Potra, F.A.
Keywords: secant method, Banach spaces, 510.mathematics, Iterative procedures involving nonlinear operators, numerical stability, Numerical solutions to equations with nonlinear operators, 4. Education, error bounds, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1982 English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 38, pages 427-445 (issn: 0029-599X, eissn: 0945-3245,

Authors: Potra, F.A.;

doi: 10.1007/bf01396443

An error analysis for the secant method

- Summary
- Subjects
- Metrics

Abstract

Sharp a priori and a posteriori error bounds are given for the secant method for solving non-linear equations in Banach spaces. The numerical stability of this method is also investigated. The stability results are analogous to those obtained by Lancaster for Newton's method.

Related Organizations

DigiZeitschriften
Germany

Keywords

secant method, Banach spaces, 510.mathematics, Iterative procedures involving nonlinear operators, numerical stability, Numerical solutions to equations with nonlinear operators, error bounds, Article, convergence conditions

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	30
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average