Title :
New SLICOT routines based on structured eigensolvers
Author :
Sima, Vasile ; Benner, Peter ; Kressner, D.
Author_Institution :
Adv. Res. Dept., Nat. Inst. for R&D in Inf., Bucharest, Romania
Abstract :
The latest developments of the SLICOT Library based on structure preserving algorithms for solving eigenproblems with Hamiltonian matrices and skew-Hamiltonian/Hamiltonian matrix pencils are discussed. An important application benefiting from these advances is the computation of ℒ∞-norms of linear time-invariant multivariable systems. It is shown that this approach delivers accurate results and it is much faster than the state-of-the-art tools.
Keywords :
control engineering computing; eigenvalues and eigenfunctions; linear systems; matrix algebra; multivariable control systems; SLICOT Library; SLICOT routines; eigenproblem; linear time-invariant multivariable system; skew-Hamiltonian matrix pencil; structure preserving algorithm; structured eigensolver; Algorithms; Eigenvalues and eigenfunctions; Libraries; MATLAB; Matrix decomposition; Sparse matrices; Standards;
Conference_Titel :
Control Applications (CCA), 2012 IEEE International Conference on
Conference_Location :
Dubrovnik
Print_ISBN :
978-1-4673-4503-3
Electronic_ISBN :
1085-1992
DOI :
10.1109/CCA.2012.6402437
