Point Estimation of Root Finding Methods

Language: English

Published by Springer, Springer Vieweg Jun 2008, 2008

3540778500 / 9783540778509

Series: Book 2 of 20 - Lecture Notes in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -The problem of solving nonlinear equations and systems of equations ranks among the most signi cant in the theory and practice, not only of applied mathematicsbutalsoofmanybranchesofengineeringsciences,physics,c- puter science, astronomy, nance, and so on. A glance at the bibliography and the list of great mathematicians who have worked on this topic points to a high level of contemporary interest. Although the rapid development of digital computers led to the e ective implementation of many numerical methods, in practical realization, it is necessary to solve various problems such as computational e ciency based on the total central processor unit time, the construction of iterative methods which possess a fast convergence in the presence of multiplicity (or clusters) of a desired solution, the control of rounding errors, information about error bounds of obtained approximate solution, stating computationally veri able initial conditions that ensure a safe convergence, etc. It is the solution of these challenging problems that was the principal motivation for the present study. In this book, we are mainly concerned with the statement and study of initial conditions that provide the guaranteed convergence of an iterative method for solving equations of the form f(z) = 0. The traditional approach to this problem is mainly based on asymptotic convergence analysis using some strong hypotheses on di erentiability and derivative bounds in a rather wide domain.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 228 pp. Englisch.

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Title
Point Estimation of Root Finding Methods
Author
Miodrag Petkovic
Publisher
Springer, Springer Vieweg Jun 2008
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540778500
ISBN 13
9783540778509
Item weight
353 grams
Dimensions
235x155x13 mm
Series
Book 2 of 20: Lecture Notes in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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