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Solving Matrix Equations on Multi-Core and Many-Core Architectures

  • Published:2013-11-25 Issue:4 Volume:6 Page:857-870
  • ISSN:1999-4893
  • Container-title:Algorithms
  • language:en
  • Short-container-title:Algorithms

Author:

Benner Peter,Ezzatti Pablo,Mena Hermann,Quintana-Ortí Enrique,Remón Alfredo

Publisher

MDPI AG

Subject

Computational Mathematics,Computational Theory and Mathematics,Numerical Analysis,Theoretical Computer Science

Reference20 articles.

1. Matrix Riccati Equations in Control and Systems Theory;Abou-Kandil,2003

2. Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†

3. State-space truncation methods for parallel model reduction of large-scale systems

4. Solving linear-quadratic optimal control problems on parallel computers

5. Accelerating Model Reduction of Larger Linear Systems with Graphics Processors;Benner,2012

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1. Factorized solution of generalized stable Sylvester equations using many-core GPU accelerators;The Journal of Supercomputing;2021-02-26

2. GPU acceleration of splitting schemes applied to differential matrix equations;Numerical Algorithms;2019-04-05

3. A GPU-aware mixed-precision solver for low-rank algebraic Riccati equations;Concurrency and Computation: Practice and Experience;2018-02-28

4. Fourier-splitting method for solving hyperbolic LQR problems;Numerical Algebra, Control & Optimization;2018

5. Applications and Numerical Approximation;Equations Involving Malliavin Calculus Operators;2017
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