We propose an efficient implementation of the Balanced Truncation (BT) method for model order reduction when the state-space matrix is symmetric (positive definite). Most of the computational effort required by this method is due to the computation of matrix inverses. Two alternatives for the inversion of a symmetric positive definite matrix on multi-core platforms are studied and evaluated, the traditional approach based on the Cholesky factorization and the Gauss-Jordan elimination algorithm. Implementations of both methods have been developed and tested. Numerical experiments show the efficiency attained by the proposed implementations on the target architecture. © 2011 Springer-Verlag.
CITATION STYLE
Ezzatti, P., Quintana-Ortí, E. S., & Remón, A. (2011). Efficient model order reduction of large-scale systems on multi-core platforms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6786 LNCS, pp. 643–653). https://doi.org/10.1007/978-3-642-21934-4_52
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