Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) (Q312196)
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scientific article; zbMATH DE number 6627374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) |
scientific article; zbMATH DE number 6627374 |
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Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) (English)
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14 September 2016
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The parametric linear equation \( A(p) X = B(p)\) with parameter \(\{p_j\}\) that vary on know intervals and its interval solution \(X\) are studied. The AE-solution \(X\) is characterized by its entry intervals for boundedness. After vectorizing the problem via Kronecker matrix products, the Krawcyzk operator is used to reduce the complexity. Generalizations of enclosing bounds for the united solution sets are given and the method is tested with various linear equation solvers for 2 by 2 parametric examples.
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parametric linear equation
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interval parameters
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AE-solution set
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Krawcyzk operator
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