Numerical stability: Mathematics, Numerical Analysis, Algorithm, Numerical Linear Algebra, Function, Round-off Error, Truncation Error, Data Error - Brossura
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical subfield of numerical analysis, numerical stability is a desirable property of numerical algorithms. The precise definition of stability depends on the context, but it is related to the accuracy of the algorithm. A related phenomenon is instability. Typically, algorithms would approach the right solution in the limit, if there were no round-off or truncation errors, but depending on the specific computational method small errors can be magnified, instead of damped, leading to large errors. Sometimes a single calculation can be achieved in several ways, all of which are algebraically equivalent in terms of ideal real or complex numbers, but in practice when performed on digital computers yield different results. Some calculations might damp out approximation errors that occur; others might magnify such errors. Calculations that can be proven not to magnify approximation errors are called numerically stable. One of the common tasks of numerical analysis is to try to select algorithms which are robust - that is to say, have good numerical stability among other desirable properties.
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Numerical stability
Editore:
VDM Verlag Dr. Müller E.K. Jan 2010, 2010
ISBN 10: 6130336268
ISBN 13: 9786130336264
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In the mathematical subfield of numerical analysis, numerical stability is a desirable property of numerical algorithms. The precise definition of stability depends on the context, but it is related to the accuracy of the algorithm. A related phenomenon is instability. Typically, algorithms would approach the right solution in the limit, if there were no round-off or truncation errors, but depending on the specific computational method small errors can be magnified, instead of damped, leading to large errors. Sometimes a single calculation can be achieved in several ways, all of which are algebraically equivalent in terms of ideal real or complex numbers, but in practice when performed on digital computers yield different results. Some calculations might damp out approximation errors that occur; others might magnify such errors. Calculations that can be proven not to magnify approximation errors are called numerically stable. One of the common tasks of numerical analysis is to try to select algorithms which are robust that is to say, have good numerical stability among other desirable properties. Englisch. Codice articolo 9786130336264
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Numerical stability : Mathematics, Numerical Analysis, Algorithm, Numerical Linear Algebra, Function, Round-off Error, Truncation Error, Data Error
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In the mathematical subfield of numerical analysis, numerical stability is a desirable property of numerical algorithms. The precise definition of stability depends on the context, but it is related to the accuracy of the algorithm. A related phenomenon is instability. Typically, algorithms would approach the right solution in the limit, if there were no round-off or truncation errors, but depending on the specific computational method small errors can be magnified, instead of damped, leading to large errors. Sometimes a single calculation can be achieved in several ways, all of which are algebraically equivalent in terms of ideal real or complex numbers, but in practice when performed on digital computers yield different results. Some calculations might damp out approximation errors that occur; others might magnify such errors. Calculations that can be proven not to magnify approximation errors are called numerically stable. One of the common tasks of numerical analysis is to try to select algorithms which are robust that is to say, have good numerical stability among other desirable properties. Codice articolo 9786130336264
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Numerical stability | Mathematics, Numerical Analysis, Algorithm, Numerical Linear Algebra, Function, Round-off Error, Truncation Error, Data Error
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Taschenbuch. Condizione: Neu. Numerical stability | Mathematics, Numerical Analysis, Algorithm, Numerical Linear Algebra, Function, Round-off Error, Truncation Error, Data Error | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130336264 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Codice articolo 101385072
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