The weak and strong stability of algorithms in numerical linear algebra (Q1107263)
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scientific article; zbMATH DE number 4064367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The weak and strong stability of algorithms in numerical linear algebra |
scientific article; zbMATH DE number 4064367 |
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The weak and strong stability of algorithms in numerical linear algebra (English)
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1987
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The stability of algorithm in numeical linear algebra is discussed. The concept of stability is extended to notions of weak stability and strong stability. Justifications are given for these extensions, and the implications of error analysis in terms of these definitions are discussed. The concept of weak stability helps to clarify some of the controversy which has arisen concerning the stability of algorithms for Toeplitz systems.
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backward error analysis
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conditioning
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stability of algorithm
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weak stability
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strong stability
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Toeplitz systems
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