Outer solution of linear systems whose elements are affine functions of interval parameters (Q1869605)
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scientific article; zbMATH DE number 1902317
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Outer solution of linear systems whose elements are affine functions of interval parameters |
scientific article; zbMATH DE number 1902317 |
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Outer solution of linear systems whose elements are affine functions of interval parameters (English)
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28 April 2003
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The author considers a linear algebraic system whose elements are affine functions of a given set of interval parameters. A direct method for finding an interval enclosure of the parametric solution set is proposed. The method is based on a center-radius representation for the intervals and reduces to the solution of two real linear systems: one for the center and one for the radius of the solution enclosure; both systems being of the same size as is the original one.
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linear equations
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interval parameters
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interval arithmetic
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direct method
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interval enclosure
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center-radius representation
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