Petkovic | Point Estimation of Root Finding Methods | E-Book | sack.de
E-Book

E-Book, Englisch, Band 1933, 210 Seiten, eBook

Reihe: Lecture Notes in Mathematics

Petkovic Point Estimation of Root Finding Methods


Erscheinungsjahr 2008
ISBN: 978-3-540-77851-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1933, 210 Seiten, eBook

Reihe: Lecture Notes in Mathematics

ISBN: 978-3-540-77851-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark



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.

Petkovic Point Estimation of Root Finding Methods jetzt bestellen!

Zielgruppe


Research


Autoren/Hrsg.


Weitere Infos & Material


Basic Concepts.- Iterative Processes and Point Estimation Theory.- Point Estimation of Simultaneous Methods.- Families of Simultaneous Methods of Higher Order: Part I.- Families of Simultaneous Methods of Higher Order: Part II.



Ihre Fragen, Wünsche oder Anmerkungen
Vorname*
Nachname*
Ihre E-Mail-Adresse*
Kundennr.
Ihre Nachricht*
Lediglich mit * gekennzeichnete Felder sind Pflichtfelder.
Wenn Sie die im Kontaktformular eingegebenen Daten durch Klick auf den nachfolgenden Button übersenden, erklären Sie sich damit einverstanden, dass wir Ihr Angaben für die Beantwortung Ihrer Anfrage verwenden. Selbstverständlich werden Ihre Daten vertraulich behandelt und nicht an Dritte weitergegeben. Sie können der Verwendung Ihrer Daten jederzeit widersprechen. Das Datenhandling bei Sack Fachmedien erklären wir Ihnen in unserer Datenschutzerklärung.