• closedAccess   A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function 

      Benner, Peter; Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Springer (2013)
      In this paper we introduce a variant of the Newton iteration for the matrix sign function that results in an efficient numerical solver for a certain class of algebraic Riccati equations (AREs). In particular, when the ...
    • 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 BST Methods for Model Reduction with Graphics Processors 

      Benner, Peter; Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Springer Berlin Heidelberg (2012)
      Model order reduction of dynamical linear time-invariant system appears in many scientific and engineering applications. Numerically reliable SVD-based methods for this task require O(n3) floating-point arithmetic operations, ...
    • 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   Accelerating the Lyapack library using GPUs 

      Dufrechou, Ernesto; Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Springer (2013)
      Lyapack is a package for the solution of large-scale sparse problems arising in control theory. The package has a modular design, and is implemented as a Matlab toolbox, which renders it easy to utilize, modify and extend ...
    • openAccess   An Algorithm-by-Blocks for SuperMatrix Band Cholesky Factorization 

      Quintana-Ortí, Gregorio; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo; Van de Geijn, Robert A. Springer Verlag (2008)
      We pursue the scalable parallel implementation of the factor- ization of band matrices with medium to large bandwidth targeting SMP and multi-core architectures. Our approach decomposes the computation into a large ...
    • openAccess   Application of Multi-core and GPU Architectures on Signal Processing: Case Studies 

      González, Alberto; BELLOCH, JOSE A.; Piñero, Gema; Lorente, Jorge; Ferrer, Miguel; Roger, Sandra; Roig, Carles; Martínez, Francisco J.; De Diego, María; Alonso-Jordá, Pedro; García, Víctor M.; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo; Vidal, Antonio M. Universidad Politécnica de Valencia (2010)
      In this article part of the techniques and developments we are carrying out within the INCO2 group are reported. Results follow the interdisciplinary approach with which we tackle signal processing applications. Chosen ...
    • openAccess   Efficient model order reduction of large-scale systems on multi-core platforms 

      Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Springer (2011)
      We propose an efficient implementation of the Balanced Truncation (BT) method for model order reduction when the state-space matrix is symmetric (positive definite). Most of the computational effort required by this method ...
    • openAccess   Extending lyapack for the solution of band Lyapunov equations on hybrid CPU–GPU platforms 

      Benner, Peter; Remón Gómez, Alfredo; Dufrechou, Ernesto; Ezzatti, Pablo; Quintana-Orti, Enrique S. Springer Verlag (2015)
      The solution of large-scale Lyapunov equations is an important tool for the solution of several engineering problems arising in optimal control and model order reduction. In this work, we investigate the case when the ...
    • openAccess   Hyperspectral Unmixing on Multicore DSPs: Trading Off Performance for Energy 

      Castillo Catalán, María Isabel; Fernández Fernández, Juan Carlos; Igual, Francisco D.; Plaza, Antonio; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo IEEE (2014)
      Wider coverage of observation missions will increase onboard power restrictions while, at the same time, pose higher demands from the perspective of processing time, thus asking for the exploration of novel high-performance ...
    • openAccess   Matrix inversion on CPU–GPU platforms with applications in control theory 

      Benner, Peter; Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Wiley (2013-06-10)
      In this paper, we tackle the inversion of large-scale dense matrices via conventional matrix factorizations (LU, Cholesky, and LDLT) and the Gauss–Jordan method on hybrid platforms consisting of a multicore CPU and a ...
    • openAccess   Performance versus energy consumption of hyperspectral unmixing algorithms on multi-core platforms 

      Remón Gómez, Alfredo; Sánchez, Sergio; Bernabé, Sergio; Quintana-Orti, Enrique S.; Plaza, Antonio SpringerOpen (2013)
      Hyperspectral imaging is a growing area in remote sensing in which an imaging spectrometer collects hundreds of images (at different wavelength channels) for the same area on the surface of the Earth. Hyperspectral images ...
    • closedAccess   Real-time endmember extraction on multicore processors 

      Quintana-Orti, Enrique S.; Remón Gómez, Alfredo; Sánchez, Sergio; Paz, Abel; Plaza, Antonio IEEE (2011)
      In this letter, we discuss the use of multicore processors in the acceleration of endmember extraction algorithms for hyperspectral image unmixing. Specifically, we develop computationally efficient versions of two popular ...
    • openAccess   Solving Matrix Equations on Multi-Core and Many-Core Architectures 

      Benner, Peter; Ezzatti, Pablo; Mena, Hermann; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo MDPI (2013-12)
      We address the numerical solution of Lyapunov, algebraic and differential Riccati equations, via the matrix sign function, on platforms equipped with general-purpose multicore processors and, optionally, one or more graphics ...
    • openAccess   The Impact of the Multi-core Revolution on Signal Processing 

      González, Alberto; BELLOCH, JOSE A.; Martínez, Francisco J.; Alonso-Jordá, Pedro; García, Víctor M.; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo; Vidal, Antonio M. Universidad Politécnica de Valencia (2010)
      This paper analyzes the influence of new multi- core and many-core architectures on Signal Processing. The article covers both the architectural design and the programming models of current general-purpose multi-core ...
    • 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   Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction 

      Benner, Peter; Dufrechou, Ernesto; Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo © Springer International Publishing AG (2015-12)
      Linear algebra operations arise in a myriad of scientific and engineering applications and, therefore, their optimization is targeted by a significant number of high performance computing (HPC) research efforts. In particular, ...
    • openAccess   Using graphics processors to accelerate the computation of the matrix inverse 

      Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón Gómez, Alfredo Springer Verlag (2011)
      We study the use of massively parallel architectures for computing a matrix inverse. Two different algorithms are reviewed, the traditional approach based on Gaussian elimination and the Gauss-Jordan elimination alternative, ...