Efficient balancing-based MOR for large-scale second-order systems

By Peter Benner, Jens Saak. 2011

60 citations recorded by the source corpus.

Subfields: Numerical Analysis, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/ccd661b7024d298258a9e5fe18dbe75000fa1b20

How researchers see this paper

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

In Numerical Analysis

1. Patrick Kürschner
2. Jens Saak
3. Peter Benner

In Statistical and Nonlinear Physics

1. Patrick Kürschner
2. Jens Saak
3. Peter Benner

In Statistics and Probability

1. Patrick Kürschner
2. Jens Saak
3. Peter Benner

Citations in the corpus

• An improved numerical method for balanced truncation for symmetric second-order systems (2013, methodology): “As shown in [1,14,15,29], G-LR-ADI can be rearranged to obtain the solution without explicitly forming the matrices of the linearization.”
• Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations (2014, unknown): “Linear Algebra Appl., 11 (2004), pp. 371–389.”