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Sinopsis
The usual "implementation? of real numbers as floating point numbers on existing computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. During the last years research in different areas has been intensified in order to overcome these problems. (Leda-Library by K. Mehlhorn et al., "Exact arithmetic with real numbers? by A. Edalat et al., Symbolic algebraic methods, verification methods). The latest development is the combination of symbolic-algebraic methods and verification methods to so-called hybrid methods. ? This book contains a collection of worked out talks on these subjects given during a Dagstuhl seminar at the Forschungszentrum für Informatik, Schloß Dagstuhl, Germany, presenting the state of the art.
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Reseña del editor
The usual usual "implementation" "implementation" ofreal numbers as floating point numbers on exist iing ng computers computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. For numerical algorithms there are frequently error bounds for the computed approximation available. Traditionally a bound for the infinity norm is estima ted using ttheoretical heoretical ccoonncceeppttss llike ike the the condition condition number number of of a a matrix matrix for for example. example. Therefore Therefore the error bounds are not really available in practice since their com putation requires more or less the exact solution of the original problem. During the last years research in different areas has been intensified in or der to overcome these problems. As a result applications to different concrete problems were obtained. The LEDA-library (K. Mehlhorn et al.) offers a collection of data types for combinatorical problems. In a series of applications, where floating point arith metic fails, reliable results are delivered. Interesting examples can be found in classical geometric problems. At the Imperial College in London was introduced a simple principle for "exact arithmetic with real numbers" (A. Edalat et al.), which uses certain nonlinear transformations. Among others a library for the effective computation of the elementary functions already has been implemented.
Reseña del editor
The usual 'implementation' of real numbers as floating point numbers on existing computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. During the last years research in different areas has been intensified in order to overcome these problems (LEDA-Library by K. Mehlhorn et al., 'Exact arithmetic with real numbers' by A. Edalat et al., Symbolic algebraic methods, and verification methods). The latest development is the combination of symbolic-algebraic methods and verification methods to so-called hybrid methods. This book contains a collection of worked out talks on these subjects given during a Dagstuhl seminar at the Forschungszentrum fur Informatik, Schloss Dagstuhl, Germany, presenting the state of the art.
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Symbolic Algebraic Methods and Verification Methods
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Springer Vienna Feb 2001, 2001
ISBN 10: 3211835938
ISBN 13: 9783211835937
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The usual usual 'implementation' 'implementation' ofreal numbers as floating point numbers on exist iing ng computers computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. For numerical algorithms there are frequently error bounds for the computed approximation available. Traditionally a bound for the infinity norm is estima ted using ttheoretical heoretical ccoonncceeppttss llike ike the the condition condition number number of of a a matrix matrix for for example. example. Therefore Therefore the error bounds are not really available in practice since their com putation requires more or less the exact solution of the original problem. During the last years research in different areas has been intensified in or der to overcome these problems. As a result applications to different concrete problems were obtained. The LEDA-library (K. Mehlhorn et al.) offers a collection of data types for combinatorical problems. In a series of applications, where floating point arith metic fails, reliable results are delivered. Interesting examples can be found in classical geometric problems. At the Imperial College in London was introduced a simple principle for 'exact arithmetic with real numbers' (A. Edalat et al.), which uses certain nonlinear transformations. Among others a library for the effective computation of the elementary functions already has been implemented. 280 pp. Englisch. Nº de ref. del artículo: 9783211835937
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Symbolic Algebraic Methods and Verification Methods
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The usual usual 'implementation' 'implementation' ofreal numbers as floating point numbers on exist iing ng computers computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. For numerical algorithms there are frequently error bounds for the computed approximation available. Traditionally a bound for the infinity norm is estima ted using ttheoretical heoretical ccoonncceeppttss llike ike the the condition condition number number of of a a matrix matrix for for example. example. Therefore Therefore the error bounds are not really available in practice since their com putation requires more or less the exact solution of the original problem. During the last years research in different areas has been intensified in or der to overcome these problems. As a result applications to different concrete problems were obtained. The LEDA-library (K. Mehlhorn et al.) offers a collection of data types for combinatorical problems. In a series of applications, where floating point arith metic fails, reliable results are delivered. Interesting examples can be found in classical geometric problems. At the Imperial College in London was introduced a simple principle for 'exact arithmetic with real numbers' (A. Edalat et al.), which uses certain nonlinear transformations. Among others a library for the effective computation of the elementary functions already has been implemented. Nº de ref. del artículo: 9783211835937
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Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,)
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Symbolic Algebraic Methods and Verification Methods
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction (G. Alefeld, J. Rohn, S. Rump, T. Yamamoto).- Topological Concepts for Hierarchies of Variables, Types and Controls (R. Albrecht).- Modifications of the Oettli-Prager Theorem with Application to the Eigenvalue Problem (G. Alefeld, V. Kreinovich. Nº de ref. del artículo: 4489163
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Symbolic Algebraic Methods and Verification Methods
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Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,)
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Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,)
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Paperback. Condición: New. Nº de ref. del artículo: 6666-IUK-9783211835937
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Symbolic Algebraic Methods and Verification Methods
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Symbolic Algebraic Methods and Verification Methods
Publicado por
Springer Vienna, Springer Vienna Feb 2001, 2001
ISBN 10: 3211835938
ISBN 13: 9783211835937
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -The usual usual 'implementation' 'implementation' ofreal numbers as floating point numbers on exist iing ng computers computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. For numerical algorithms there are frequently error bounds for the computed approximation available. Traditionally a bound for the infinity norm is estima ted using ttheoretical heoretical ccoonncceeppttss llike ike the the condition condition number number of of a a matrix matrix for for example. example. Therefore Therefore the error bounds are not really available in practice since their com putation requires more or less the exact solution of the original problem. During the last years research in different areas has been intensified in or der to overcome these problems. As a result applications to different concrete problems were obtained. The LEDA-library (K. Mehlhorn et al.) offers a collection of data types for combinatorical problems. In a series of applications, where floating point arith metic fails, reliable results are delivered. Interesting examples can be found in classical geometric problems. At the Imperial College in London was introduced a simple principle for 'exact arithmetic with real numbers' (A. Edalat et al.), which uses certain nonlinear transformations. Among others a library for the effective computation of the elementary functions already has been implemented. 280 pp. Englisch. Nº de ref. del artículo: 9783211835937
Cantidad disponible: 2 disponibles
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Symbolic Algebraic Methods and Verification Methods
Librería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 1st edition. 266 pages. 9.75x6.75x0.50 inches. In Stock. Nº de ref. del artículo: x-3211835938
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