• closedAccess   The FLAME approach: From dense linear algebra algorithms to high-performance multi-accelerator implementations 

      Igual, Francisco; Chan, Ernie; Quintana-Orti, Enrique S.; Quintana-Ortí, Gregorio; Van de Geijn, Robert A. Elsevier (2012)
      Parallel accelerators are playing an increasingly important role in scientific computing. However, it is perceived that their weakness nowadays is their reduced “programmability” in comparison with traditional general-purpose ...
    • openAccess   The libflame library for dense matrix computations 

      Van Zee, Field G.; Chan, Ernie; Van de Geijn, Robert A.; Quintana-Ortí, Gregorio; Quintana-Orti, Enrique S. IEEE Computer Society (2009-11)
      Researchers from the Formal Linear Algebra Method Environment (Flame) project have developed new methodologies for analyzing, designing, and implementing linear algebra libraries. These solutions, which have culminated in ...
    • closedAccess   Toward the parallelization of GSL 

      Aliaga Estellés, José Ignacio; Almeida, Francisco; Badía, José; Barrachina Mir, Sergio; Blanco, Vicente; Castillo Catalán, María Isabel; Mayo, Rafael; Quintana-Orti, Enrique S.; Quintana-Ortí, Gregorio; Remón Gómez, Alfredo; Rodríguez, Casiano; De Sande, Francisco; Santos, Adrián Springer-Verlag (2009)
      In this paper, we present our joint efforts to design and develop parallel implementations of the GNU Scientific Library for a wide variety of parallel platforms. The multilevel software architecture proposed provides ...
    • 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 ...
    • closedAccess   Using desktop computers to solve large-scale dense linear algebra problems 

      Quintana-Orti, Enrique S.; Marqués-Andrés, Mercedes; Quintana-Ortí, Gregorio; Van de Geijn, Robert A. Springer Science+Business Media (2011-11)
      We provide experimental evidence that current desktop computers feature enough computational power to solve large-scale dense linear algebra problems. While the high computational cost of the numerical methods for solving ...