Iterative methods for simultaneous inclusion of polynomial zeros
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The work Iterative methods for simultaneous inclusion of polynomial zeros represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Iterative methods for simultaneous inclusion of polynomial zeros
Resource Information
The work Iterative methods for simultaneous inclusion of polynomial zeros represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Iterative methods for simultaneous inclusion of polynomial zeros
 Statement of responsibility
 Miodrag Petković
 Subject

 Interval analysis (Mathematics)
 Interval analysis (Mathematics)
 Interval analysis (Mathematics)
 Intervallalgebra
 Iteration
 Iterative methods (Mathematics)
 Iterative methods (Mathematics)
 Iterative methods (Mathematics)
 Itération (Mathématiques)
 Komplexe Zahl
 Nullstelle
 Polynom
 Polynomials
 Polynomials
 Polynomials
 Polynômes
 Calcul sur des intervalles
 Language
 eng
 Summary
 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 floatingpoint 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
 Action
 digitized
 Cataloging source
 SPLNM
 Dewey number
 510.8
 Index
 index present
 LC call number

 QA3
 QA297.75
 LC item number
 .L28 no. 1387
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1387
Context
Context of Iterative methods for simultaneous inclusion of polynomial zerosWork of
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