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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)(2)
2016 International Conference on High Performance Computing and Simulation, HPCS 2016(1)
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scopus(9)
Analysis of krylov subspace approximation to large-scale differential riccati equations
ArticleAbstract: We consider a Krylov subspace approximation method for the symmetric differential Riccati equation XPalabras claves:Differential Riccati equations, Exponential integrators, Krylov subspace methods, Large-scale ordinary differential equations, Low-rank approximation, LQR optimal control problems, Matrix exponential, Model order reductionAutores:Hermann Mena, Koskela A.Fuentes:scopusAccelerating the resolution of generalized Lyapunov matrix equations on hybrid architectures
Conference ObjectAbstract: Generalized Lyapunov equations play an important role in bilinear model order reduction and linear sPalabras claves:generalized Lyapunov matrix equations, graphics processors, matrix inverse, matrix sign function, multi-core processorsAutores:Bayá R., Decia I., Ezzatti P., Hermann MenaFuentes:scopusGPU acceleration of splitting schemes applied to differential matrix equations
ArticleAbstract: We consider differential Lyapunov and Riccati equations, and generalized versions thereof. Such equaPalabras claves:Differential Lyapunov equations, Differential Riccati equations, GPU acceleration, large scale, Splitting schemesAutores:Hermann Mena, Lena Maria Pfurtscheller, Stillfjord T.Fuentes:scopusNumerical low-rank approximation of matrix differential equations
ArticleAbstract: The efficient numerical integration of large-scale matrix differential equations is a topical problePalabras claves:Differential Lyapunov equations, Differential Riccati equations, Dynamical low-rank approximation, El Niño simulation, Linear quadratic regulator problem, Splitting integratorsAutores:Hermann Mena, Lena Maria Pfurtscheller, Ostermann A., Piazzola C.Fuentes:scopusOn the parameter selection problem in the newton-adi iteration for large-scale riccati equations
ArticleAbstract: The numerical treatment of linear-quadratic regulator (LQR) problems for parabolic partial differentPalabras claves:Algebraic Riccati equation, Lyapunov equation, Newton-ADI, Rational min-max problem, Shift parameters, Zolotarev problemAutores:Benner P., Hermann Mena, Saak J.Fuentes:scopusInnovative integrators for computing the optimal state in LQR problems
Conference ObjectAbstract: We consider the numerical approximation of linear quadratic optimal control problems for partial difPalabras claves:Abstract LQR problems, Convergence Analysis, Exponential integrators, Operator splitting procedures, Optimal ControlAutores:Csomós P., Hermann MenaFuentes:scopusRandom perturbations in a mathematical model of bacterial resistance: Analysis and optimal control
ArticleAbstract: In this work, we study a mathematical model for the interaction of sensitive-resistant bacteria to aPalabras claves:Antibiotics, Deterministic model, Equilibrium solutions, Optimal control problem, resistant bacteria, sensitive bacteria, stability, stochastic modelAutores:Hermann Mena, Jhoana P. Romero-Leiton, Lena Maria PfurtschellerFuentes:scopusSolving matrix equations on multi-core and many-core architectures
ArticleAbstract: We address the numerical solution of Lyapunov, algebraic and differential Riccati equations, via thePalabras claves:Control theory, GPUs, high performance, Lyapunov and Riccati equations, Multicore processorsAutores:Benner P., Ezzatti P., Hermann Mena, Quintana-Ortí E.S., Remón A.Fuentes:scopusSolving sparse differential riccati equations on hybrid CPU-GPU platforms
Conference ObjectAbstract: The numerical treatment of the linear-quadratic optimal control problem requires the solution of RicPalabras claves:Differential Riccati equation (DRE), feedback control, Implicit Euler, Linearly implicit Euler, LQRAutores:Benner P., Dufrechou E., Ezzatti P., Hermann Mena, Quintana-Ortí E.S., Remón A.Fuentes:scopus