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The Resource Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković

Iterative methods for simultaneous inclusion of polynomial zeros, Miodrag Petković

Label
Iterative methods for simultaneous inclusion of polynomial zeros
Title
Iterative methods for simultaneous inclusion of polynomial zeros
Statement of responsibility
Miodrag Petković
Creator
Subject
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 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
Member of
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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 250-257
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
Publication
Bibliography note
Includes bibliographical references (pages 250-257
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.

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