Listar ICC_Articles por autoría "66bce251-d613-4e70-8ddd-5b3fbbad92a4"
Mostrando ítems 1-14 de 14
-
A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function
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 ... -
A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU–GPU platforms
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 ...
-
Accelerating the Lyapack library using GPUs
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 ...
-
Accelerating the task/data-parallel version of ILUPACK’s BiCG in multi-CPU/GPU configurations
Elsevier (2019)ILUPACK is a valuable tool for the solution of sparse linear systems via iterative Krylov subspace-based methods. Its relevance for the solution of real problems has motivated several efforts to enhance its performance on ...
-
An efficient GPU version of the preconditioned GMRES method
Springer (2019-03)In a large number of scientific applications, the solution of sparse linear systems is the stage that concentrates most of the computational effort. This situation has motivated the study and development of several iterative ...
-
Characterizing the efficiency of multicore and manycore processors for the solution of sparse linear systems
Springer Berlin Heidelberg (2015-09)We analyze the efficiency of servers equipped with state-of-the-art general-purpose multicore processors as well as platforms based on accelerators such as graphics processing units (GPUs) and the Intel Xeon Phi. Following ... -
Efficient model order reduction of large-scale systems on multi-core platforms
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 ...
-
Exploiting Task and Data Parallelism in ILUPACK's Preconditioned CG Solver on NUMA Architectures and Many-core Accelerators
Elsevier (2016-05)We present specialized implementations of the preconditioned iterative linear system solver in ILUPACK for Non-Uniform Memory Access (NUMA) platforms and many-core hardware co-processors based on the Intel Xeon Phi and ...
-
Extending lyapack for the solution of band Lyapunov equations on hybrid CPU–GPU platforms
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 ...
-
Extending the Gauss-Huard method for the solution of Lyapunov matrix equations and matrix inversion
Wiley (2017-05-10)The solution of linear systems is a recurrent operation in scientific and engineering applications, traditionally addressed via the LU factorization. The Gauss-Huard (GH) algorithm has been introduced as an efficient ...
-
Matrix inversion on CPU–GPU platforms with applications in control theory
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 ...
-
Solving Matrix Equations on Multi-Core and Many-Core Architectures
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 ...
-
Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction
© 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, ...
-
Using graphics processors to accelerate the computation of the matrix inverse
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, ...
