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2016 International Conference on High Performance Computing and Simulation, HPCS 2016(1)
IEEE Transactions on Automatic Control(1)
Journal of Computational and Applied Mathematics(1)
Linear Algebra and Its Applications(1)
Numerical Algorithms(1)
Origen
scopus(5)
Accelerating 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 benefits of the LD<sup>LT</sup> factorization for large-scale differential matrix equation solvers
ArticleAbstract: We propose efficient algorithms for solving large-scale matrix differential equations. In particularPalabras claves:Large-scale, Low-rank, Lyapunov equations, Matrix differential equations, Riccati equationsAutores:Hermann Mena, Lang N., Saak J.Fuentes:scopusRosenbrock methods for solving riccati differential equations
ArticleAbstract: The Riccati differential equation (RDE) arises in several fields like optimal control, optimal filtePalabras claves:Linear-implicit Runge-Kutta, Riccati differential equation, Rosenbrock methods, Sylvester equationAutores:Benner P., Hermann MenaFuentes:scopus