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- catalog abstract "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.".
- catalog contributor b2544911.
- catalog created "1989.".
- catalog date "1989".
- catalog date "1989.".
- catalog dateCopyrighted "1989.".
- catalog description "Includes bibliographical references.".
- catalog description "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.".
- catalog extent "vii, 263 p. ;".
- catalog hasFormat "Iterative methods for simultaneous inclusion of polynomial zeros.".
- catalog identifier "0387514856 (U.S.)".
- catalog identifier "3540514856".
- catalog isFormatOf "Iterative methods for simultaneous inclusion of polynomial zeros.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1387.".
- catalog isPartOf "Lecture notes in mathematics ; 1387".
- catalog issued "1989".
- catalog issued "1989.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Iterative methods for simultaneous inclusion of polynomial zeros.".
- catalog subject "510 s 519.4 20".
- catalog subject "Interval analysis (Mathematics)".
- catalog subject "Iterative methods (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "Polynomials.".
- catalog subject "QA3 .L28 no. 1387 QA297.75".
- catalog title "Iterative methods for simultaneous inclusion of polynomial zeros / Miodrag Petković.".
- catalog type "text".