• DocumentCode
    3686528
  • Title

    Solving SLICOT benchmarks for continuous-time algebraic Riccati equations by Hamiltonian solvers

  • Author

    Vasile Sima;Peter Benner

  • Author_Institution
    National Institute for Research &
  • fYear
    2015
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    Solving standard continuous-time algebraic Riccati equations using the structure-exploiting Hamiltonian approach is briefly presented. A new solver based on the SLICOT Library subroutines has been developed and tested on the CAREX benchmark collection included in SLICOT. The numerical results show similar or better accuracy (in terms of the relative residuals, or relative errors, when exact solutions are known) in comparison with the state-of-the-art MATLAB solver. Moreover, the new solver is faster for moderate size Riccati equations.
  • Keywords
    "Eigenvalues and eigenfunctions","Algorithms","Riccati equations","MATLAB","Matrix decomposition","Accuracy","Benchmark testing"
  • Publisher
    ieee
  • Conference_Titel
    System Theory, Control and Computing (ICSTCC), 2015 19th International Conference on
  • Type

    conf

  • DOI
    10.1109/ICSTCC.2015.7321260
  • Filename
    7321260