Listar por autoría "ce2b9c2d-094b-474d-a4bc-746173909e49"

Mostrando ítems 1-6 de 6

    • closedAccess   Condensed forms for the symmetric eigenvalue problem on multi-threaded architectures 

      Bientinesi, Paolo; Igual, Francisco; 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 ...

    • openAccess   Deriving dense linear algebra libraries 

      Bientinesi, Paolo; Gunnels, John A.; Myers, Margaret E.; Quintana-Orti, Enrique S.; Rhodes, Tyler; Van de Geijn, Robert A.; Van Zee, Field G. Springer London (2013-11)
      Starting in the late 1960s computer scientists including Dijkstra and Hoare advocated goal- oriented programming and the formal derivation of algorithms. The chief impediment to realizing this for loop-based programs was ...

    • openAccess   Improved Accuracy and Parallelism for MRRR-Based Eigensolvers -- A Mixed Precision Approach 

      Petschow, Matthias; Quintana-Orti, Enrique S.; Bientinesi, Paolo Society for Industrial and Applied Mathematics (2014)
      The real symmetric tridiagonal eigenproblem is of outstanding importance in numerical computations; it arises frequently as part of eigensolvers for standard and generalized dense Hermitian eigenproblems that are based on ...

    • closedAccess   Reduction to Condensed Forms for Symmetric Eigenvalue Problems on Multi-core Architectures 

      Bientinesi, Paolo; Igual, Francisco; 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 ...

    • closedAccess   Solving dense generalized eigenproblems on multi-threaded architectures 

      Aliaga Estellés, José Ignacio; Bientinesi, Paolo; Davidovic, Davor; Di Napoli, Edoardo; Igual, Francisco; Quintana-Orti, Enrique S. Elsevier (2012-07)
      We compare two approaches to compute a fraction of the spectrum of dense symmetric definite generalized eigenproblems: one is based on the reduction to tridiagonal form, and the other on the Krylov-subspace iteration. ...

    • openAccess   Towards an Efficient Use of the BLAS Library for Multilinear Tensor Contractions 

      Di Napoli, Edoardo; Fabregat Traver, Diego; Quintana-Ortí, Gregorio; Bientinesi, Paolo Aachen University (2014)
      Mathematical operators whose transformation rules constitute the building blocks of a multi-linear algebra are widely used in physics and engineering applications where they are very often represented as tensors. In the ...