Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function

Author:

Barrachina Sergio,Benner Peter,Quintana-Ortí Enrique S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference28 articles.

1. Abels, J., Benner, P.: CAREX – A collection of benchmark examples for continuous-time algebraic Riccati equations (Version 2.0). SLICOT Working Note 1999-14. Available from www.slicot.de (1999)

2. Barrachina, S., Benner, P., Quintana-Ortí, E.: Parallel algorithms for balanced truncation of large-scale unstable systems. In: Proc. 44rd IEEE Conf. Decision Contr. and European Contr. Conf. ECC2005, pp. 2248–2253. Omnipress, Madison, WI. CD Rom (2005a)

3. Barrachina, S., Benner, P., Quintana-Ortí, E.: Parallel solution of large-scale algebraic Bernoulli equations via the matrix sign function method. In: Skeie, T., Yang, C. (eds.) Proc. 2005 Intl. Conf. Parallel Processing Workshops, pp. 189–193. IEEE Computer Society, Los Alamitos, CA (2005b)

4. Benner, P.: Computing low-rank solutions of algebraic Bernoulli equations. Preprint, Fakultät für Mathematik, TU Chemnitz, 09107 Chemnitz, Germany (2007)

5. Benner, P., Byers R., Mehrmann, V., Xu, H.: Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. SIAM J. Matrix Anal. Appl. 24(1), 165–190 (2002)

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