Krylov subspace methods for projected Lyapunov equations

By Tatjana Stykel, Valeria Simoncini. 2012

53 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4c211012bf800333c4b619a9f0d3dc47e5762ecb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Guangchao Geng
2. Peter Benner
3. Zexiang Zhu
4. Jens Saak
5. Quanyuan Jiang

In Numerical Analysis

1. Jens Saak
2. Peter Benner
3. Quanyuan Jiang
4. Guangchao Geng
5. Zexiang Zhu

In Statistical and Nonlinear Physics

1. Jens Saak
2. Peter Benner
3. Guangchao Geng
4. Zexiang Zhu
5. Quanyuan Jiang
6. Patrick Kürschner

Citations in the corpus

• Power System Dynamic Model Reduction Based on Extended Krylov Subspace Method (2016, methodology): “Near loss of rank influences the final accuracy attainable by the iteration [24].”
• Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey (2013, background): “In the case of the EKSM for projected Lyapunov equations [58], the most critical question is which construction is”
• A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems (2015, unknown): “, [46, 47, 152, 219] for ADI-type methods, [117, 191, 199, 206] for the Smith method and its variants, [78, 135, 203, 210] for Krylov-based methods, or the recent survey [48] and the references therein.”