An improved numerical method for balanced truncation for symmetric second-order systems

By Peter Benner, Patrick Kürschner, Jens Saak. 2013

80 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7bcbb6f44c75dd9d69b361f0bef75aecb463b7ca

How researchers see this paper

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

In Computational Mechanics

1. Peter Benner
2. Jens Saak
3. Ulrike Baur
4. Lihong Feng

In Numerical Analysis

1. Jens Saak
2. Peter Benner
3. Hermann Mena
4. Ulrike Baur
5. Norman Lang
6. Lihong Feng

In Statistical and Nonlinear Physics

1. Jens Saak
2. Peter Benner
3. Hermann Mena
4. Ulrike Baur
5. Norman Lang
6. Lihong Feng
7. Patrick Kürschner

Citations in the corpus

• Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey (2013, background): “Only recently a low rank representation of the residual has been derived in [11].”
• On the benefits of the LDLT factorization for large-scale differential matrix equation solvers (2015, background): “Thus, the LDL -based factorization does not differ to much from the low-rank factored ADI as proposed in [6, 8, 7].”
• Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective (2014, background): “MOR on second order systems is discussed e.g. in [18,39,71,174,186,203].”