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Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,)

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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,). To get started finding Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3211835938

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,). To get started finding Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,)

Symbolic Algebraic Methods and Verification Methods (Springer Mathematics,)

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