Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems
By P. Benner, Jing-Rebecca Li, Thilo Penzl. Numerical Linear Algebra with Applications, 2008
362 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fecc56158f45726c0295b8add2bc40bbe0487ad9
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In Computational Theory and Mathematics
- Valeria Simoncini
- Daniel B. Szyld
- M. Monsalve
- André K. Eppler
- Matthias Bollhöfer
- Peter Benner
- Zvonimir Bujanovic
- Bart Vandereycken
In Numerical Analysis
- Valeria Simoncini
- Daniel B. Szyld
- M. Monsalve
- André K. Eppler
- Matthias Bollhöfer
- Peter Benner
- Bart Vandereycken
- Christine Tobler
In Statistical and Nonlinear Physics
- Valeria Simoncini
- Daniel B. Szyld
- M. Monsalve
- André K. Eppler
- Matthias Bollhöfer
- Peter Benner
- Zvonimir Bujanovic
- Christine Tobler
Citations in the corpus
- On two numerical methods for the solution of large-scale algebraic Riccati equations (2014, methodology): “, [7], [8], [21], [30], and section 4 for more details.”
- Computational Methods for Linear Matrix Equations (2016, methodology): “This idea was successfully explored by Penzl in [203] and was the basis for the software package Lyapack [205]; see also [36].”
- A Structure Preserving FGMRES Method for Solving Large Lyapunov Equations (2012, methodology): “For solving these second order matrix equations with Newton’s method (see [5]) in every step projected, generalized Lyapunov equations of the following type need to be solved”