NDLI: A modification of Muller’s method

Content Provider	Springer Nature Link
Author	Costabile, F. Gualtieri, M.I. Luceri, R.
Copyright Year	2006
Abstract	It is well-known that Muller’s method for the computation of the zeros of continuous functions has order ≈ 1.84 [10], and does not have the character of global convergence. Muller’s method is based on the interpolating polynomial built on the last three points of the iterative sequence. In this paper the authors take as nodes of the interpolating polynomial the last two points of the sequence and the middle point between them. The resulting method has order p=2 for regular functions. This method leads to a globally convergent algorithm because it uses dichotomic techniques. Many numerical examples are given to show how the proposed code improves on Muller’s method.
Starting Page	39
Ending Page	50
Page Count	12
File Format	PDF
ISSN	00080624
Journal	CALCOLO
Volume Number	43
Issue Number	1
e-ISSN	11265434
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical Analysis Theory of Computation
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

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A modification of Muller’s method