• closedAccess   A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU–GPU platforms 

      Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Elsevier (2011)
      We describe a hybrid Lyapunov solver based on the matrix sign function, where the intensive parts of the computation are accelerated using a graphics processor (GPU) while executing the remaining operations on a general-purpose ...
    • openAccess   Accelerating Model Reduction of Large Linear Systems with Graphics Processors 

      Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Springer Berlin Heidelberg (2012)
      Model order reduction of a dynamical linear time-invariant system appears in many applications from science and engineering. Numerically reliable SVD-based methods for this task require in general O(n3) floating-point ...
    • closedAccess   Blocked algorithms for the reduction to Hessenberg-triangular form revisited 

      Kagstrom, B.; Kressner, Daniel; Quintana-Orti, Enrique S.; Quintana-Ortí, Gregorio Springer (2008-09)
      We present two variants of Moler and Stewart’s algorithm for reducing a matrix pair to Hessenberg-triangular (HT) form with increased data locality in the access to the matrices. In one of these variants, a careful ...
    • closedAccess   Condensed forms for the symmetric eigenvalue problem on multi-threaded architectures 

      Bientinesi, Paolo; Igual, Francisco D.; Kressner, Daniel; Petschow, Matthias; Quintana-Orti, Enrique S. Wiley (2011-11-10)
      We investigate the performance of the routines in LAPACK and the Successive Band Reduction (SBR) toolbox for the reduction of a dense matrix to tridiagonal form, a crucial preprocessing stage in the solution of the symmetric ...
    • closedAccess   Reduction to Condensed Forms for Symmetric Eigenvalue Problems on Multi-core Architectures 

      Bientinesi, Paolo; Igual, Francisco D.; Kressner, Daniel; Quintana-Orti, Enrique S. Springer Berlin Heidelberg (2010)
      We investigate the performance of the routines in LAPACK and the Successive Band Reduction (SBR) toolbox for the reduction of a dense matrix to tridiagonal form, a crucial preprocessing stage in the solution of the symmetric ...