Iterative Methods for Simultaneous Inclusion of Polynomial Zeros

Name: Iterative Methods for Simultaneous Inclusion of Polynomial Zeros
Brand: Springer, Berlin
SKU: 9783540514855
Price: 217.76 PLN
Availability: InStock

Autor: Miodrag Petkovic

Język:

Oprawa: Miękka

Wydawca: Springer, Berlin

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The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. R...

Informacje o książce

Autor

Miodrag Petkovic

Język

Angielski

Oprawa

Książka - Miękka

strony

268

EAN

9783540514855

ISBN

3540514856

Enbook ID

01565202

Wydawca

Springer, Berlin

Waga

440

Wymiary

171 x 234 x 14

Pełny opis

The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. Rapidly converging algorithms are presented in these notes, including convergence analysis in terms of circular regions, and in complex arithmetic. Parallel circular iterations, where the approximations to the zeros have the form of circular regions containing these zeros, are efficient because they also provide error estimates. There are at present no book publications on this topic and one of the aims of this book is to collect most of the algorithms produced in the last 15 years. To decrease the high computational cost of interval methods, several effective iterative processes for the simultaneous inclusion of polynomial zeros which combine the efficiency of ordinary floating-point arithmetic with the accuracy control that may be obtained by the interval methods, are set down, and their computational efficiency is described. The rate of these methods is of interest in designing a package for the simultaneous approximation of polynomial zeros, where automatic procedure selection is desired. The book is both a text and a reference source for mathematicans, engineers, physicists and computer scientists who are interested in new developments and applications, but the material is also accessible to anyone with graduate level mathematical background and some knowledge of basic computational complex analysis and programming.

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