Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems (Q2923353)
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scientific article; zbMATH DE number 6356181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems |
scientific article; zbMATH DE number 6356181 |
Statements
15 October 2014
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dynamical system with multiple inputs
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Krylov subspace method
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computational cost of the algorithm
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multiple inputs multiple outputs (MIMO)
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model order reduction
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iterative method
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Adaptive tangential interpolation in rational Krylov subspaces for MIMO dynamical systems (English)
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The authors analysis the Krylov-type subspace method for a reduction of a linear dynamical system with many inputs and construct the tangential modification of this method. The method consists in the generation of the sequence of the interpolation poles \( s_{i}\) and tangential directions \( d_{i}\) by maximizing the residual norm. Also, this method is applied for the matrix \( A \) stemming from the discretization of the operator NEWLINE\[NEWLINE L(u) = ( e^{-xy}u_{x})_{x}+ ( -e^{xy}u_{y})_{y}NEWLINE\]NEWLINE and the comparison with other methods is shown. The content of the article is exposed in an unsuccessful manner.
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