# Balancing Skew-Hamiltonian/Hamiltonian Pencils - With Applications in Control Engineering

@inproceedings{Sima2016BalancingSP, title={Balancing Skew-Hamiltonian/Hamiltonian Pencils - With Applications in Control Engineering}, author={Vasile Sima}, booktitle={ICINCO}, year={2016} }

Badly-scaled matrix pencils could reduce the reliability and accuracy of computed results for many numerical problems, including computation of eigenvalues and deflating subspaces, which are needed in many key procedures for optimal and Hâ control, model reduction, spectral factorization, and so on. Standard balancing techniques can improve the results in many cases, but there are situations when the solution of the scaled problem is much worse than that for the unscaled problem. This paper…

## 2 Citations

### Improved balancing for general and structured eigenvalue problems

- Computer Science2016 20th International Conference on System Theory, Control and Computing (ICSTCC)
- 2016

This paper presents an improved balancing technique for general or structured matrices and matrix pencils and illustrates its good performance in solving eigenvalue problems and algebraic Riccati equations for large sets of examples from well-known benchmark collections.

### A Flexible Structured Solver for Continuous-time Algebraic Riccati Equations

- Computer ScienceICINCO
- 2021

A flexible solver for continuous-time AREs that allows the user to choose among several structured solution approaches, orthogonalization methods, and balancing options and parameters is proposed.

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