Sensitivity of solutions of linear DAE to perturbations of the system matrices (Q1281830)
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scientific article; zbMATH DE number 1268437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sensitivity of solutions of linear DAE to perturbations of the system matrices |
scientific article; zbMATH DE number 1268437 |
Statements
Sensitivity of solutions of linear DAE to perturbations of the system matrices (English)
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27 April 1999
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The effect of perturbations in the system matrices defined by linear differential algebraic equations (DAE) is investigated. It is proved that these perturbations may be more useful in a more complicated perturbation pattern for higher index DAE than in the case of standard perturbations. Index-1 and index-2 problems are investigated. It is noted that the above problems are obtained in many nonlinear ones. Numerical illustrations show the effectiveness of the developed theory.
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conditioning
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perturbations
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linear differential algebraic equations
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nonlinear
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