• openAccess   Reproducibility of parallel preconditioned conjugate gradient in hybrid programming environments 

      Iakymchuk, Roman; Barreda Vayá, Maria; Graillat, Stef; Aliaga Estellés, José Ignacio; Quintana-Orti, Enrique S. Sage (2020-06-17)
      The Preconditioned Conjugate Gradient method is often employed for the solution of linear systems of equations arising in numerical simulations of physical phenomena. While being widely used, the solver is also known for ...
    • closedAccess   Reproducibility strategies for parallel Preconditioned Conjugate Gradient 

      Iakymchuk, Roman; Barreda Vayá, Maria; Wiesenberger, Matthias; Aliaga Estellés, José Ignacio; Quintana-Orti, Enrique S. Elsevier (2020-01-02)
      The Preconditioned Conjugate Gradient method is often used in numerical simulations. While being widely used, the solver is also known for its lack of accuracy while computing the residual. In this article, we aim at a ...
    • 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. ...
    • 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 ...
    • closedAccess   Unveiling the performance-energy trade-off in iterative linear system solvers for multithreaded processors 

      Aliaga Estellés, José Ignacio; Anzt, Hartwig; Castillo Catalán, María Isabel; Fernández Fernández, Juan Carlos; León Navarro, Germán; Pérez, Joaquín; Quintana-Orti, Enrique S. Wiley (2015)
      In this paper, we analyze the interactions occurring in the triangle performance-power-energy for the execu- tion of a pivotal numerical algorithm, the iterative conjugate gradient (CG) method, on a diverse collection ...