The Resource Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković
Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković
Resource Information
The item Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (x, 263 pages).
 Contents

 Basic concepts
 Iterative methods without derivatives
 Generalized root iterations
 Bell's polynomials and parallel disk iterations
 Computational efficiency of simultaneous methods
 Isbn
 9783540481744
 Label
 Iterative methods for simultaneous inclusion of polynomial zeros
 Title
 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
 http://library.link/vocab/creatorName
 Petković, Miodrag
 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
 http://library.link/vocab/subjectName

 Interval analysis (Mathematics)
 Polynomials
 Iterative methods (Mathematics)
 Calcul sur des intervalles
 Polynômes
 Itération (Mathématiques)
 Interval analysis (Mathematics)
 Iterative methods (Mathematics)
 Polynomials
 Komplexe Zahl
 Iteration
 Intervallalgebra
 Polynom
 Nullstelle
 Label
 Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković
 Bibliography note
 Includes bibliographical references (pages 250257
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Basic concepts  Iterative methods without derivatives  Generalized root iterations  Bell's polynomials and parallel disk iterations  Computational efficiency of simultaneous methods
 Control code
 294933922
 Dimensions
 unknown
 Extent
 1 online resource (x, 263 pages).
 Form of item
 online
 Isbn
 9783540481744
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)294933922
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
 Label
 Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković
 Bibliography note
 Includes bibliographical references (pages 250257
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Basic concepts  Iterative methods without derivatives  Generalized root iterations  Bell's polynomials and parallel disk iterations  Computational efficiency of simultaneous methods
 Control code
 294933922
 Dimensions
 unknown
 Extent
 1 online resource (x, 263 pages).
 Form of item
 online
 Isbn
 9783540481744
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)294933922
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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
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