ADI preconditioned Krylov methods for large Lyapunov matrix equations
By Khalide Jbilou. 2010
55 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/ad48de0cfc99d8cfc0318823ecf4fc6a966603a9
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In Atomic and Molecular Physics, and Optics
- Guangchao Geng
- Zexiang Zhu
- Daniel Kressner
- Tatjana Stykel
- Christine Tobler
- Bernhard Beckermann
- Valeria Simoncini
- Quanyuan Jiang
In Computational Theory and Mathematics
- Christine Tobler
- Daniel Kressner
- Valeria Simoncini
- Bernhard Beckermann
- Tatjana Stykel
- Guangchao Geng
- Zexiang Zhu
- Quanyuan Jiang
In Electrical and Electronic Engineering
- Christine Tobler
- Daniel Kressner
- Bernhard Beckermann
- Quanyuan Jiang
- Guangchao Geng
- Zexiang Zhu
- Tatjana Stykel
- Valeria Simoncini
Citations in the corpus
- Power System Dynamic Model Reduction Based on Extended Krylov Subspace Method (2016, methodology): “The balanced truncation method assumes that the system is stable, and thus the dual Lyapunov equations have a unique positive semi-definite solution [21].”
- An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure (2013, methodology): “This includes methods based on Krylov subspaces [17, 24], extended Krylov subspaces [26], and rational Krylov subspaces [6, 18].”
- Computational Methods for Linear Matrix Equations (2016, methodology): “We also mention the procedure proposed in [143], where the continuous Lyapunov”
- Krylov subspace methods for projected Lyapunov equations (2012, methodology): “Similarly to [17], we obtain the following estimate of the residual”