Interval valued functions in numerical methods (Q2714147)
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scientific article; zbMATH DE number 1603934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interval valued functions in numerical methods |
scientific article; zbMATH DE number 1603934 |
Statements
12 June 2001
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interval extension
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inverse interval extension
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zone function
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numerical stability
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rounding error
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0.88071316
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0.8770623
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0.8748526
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Interval valued functions in numerical methods (English)
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Some nonlinear numerical problems can be reliably solved only if some appropriate discipline for rounding error handling is applied. For this various modification of interval representation for numerical values are used. In the paper three types of such a generalization of single current values and functions are described and analysed: NEWLINENEWLINENEWLINE-- interval extension,NEWLINENEWLINENEWLINE-- inverse interval extension and NEWLINENEWLINENEWLINE-- zone function. NEWLINENEWLINENEWLINEThe connections between these three representations are analysed. NEWLINENEWLINENEWLINEIn the second part of the paper numerical methods developed by using interval extension and zone functions are compared.
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