Results 101 to 110 of about 2,786 (218)
Overview of Krylov subspace methods with applications to control problems
, 1989 An overview of projection methods based on Krylov subspaces are given with emphasis on their application to solving matrix equations that arise in control problems.
Saad, Youcef
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A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems
Journal of Applied Mathematics, 2013 By using Sherman-Morrison-Woodbury formula, we introduce a preconditioner based on parameterized splitting idea for generalized saddle point problems which may be singular and nonsymmetric.
Wei-Hua Luo, Ting-Zhu Huang
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Deterministic sketching for Krylov subspace methods
CoRRRandomized sketching is currently introduced into every area of numerical linear algebra. In Krylov subspace methods, it allows runtime savings at the cost of small accuracy reductions. This work offers a different view on sketching in Krylov methods by analyzing what subspace embeddings are obtained by arbitrary sketching matrices.
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Truncation Strategies for Optimal Krylov Subspace Methods
, 1996 Optimal Krylov subspace methods like GMRES and GCR have to compute an orthogonal basis for the entire Krylov subspace to compute the minimum residual approximation to the solution.
E. de Sturler
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Adaptive Solution of Infinite Linear Systems by Krylov Subspace Methods
, 2007 In this paper we consider the problem of approximating the solution of infinite linear systems, finitely expressed by a sparse coefficient matrix. We analyze various algorithms based on Krylov subspace methods embedded in an adaptive enlargement scheme ...
LOTTI, Grazia +10 more
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A Fully Implicit Coupled Scheme for Mixed Elastohydrodynamic Problems on Co-Allocated Grids
LubricantsIn the modeling of elastohydrodynamic lubrication problems considering mixed friction, strongly coupled dependencies occur due to piezo-viscous effects and asperities, which can make a numerical solution exceptionally difficult.
Sören Wettmarshausen, Hubert Schwarze
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Connecting randomized iterative methods with Krylov subspaces
CoRRRandomized iterative methods, such as the randomized Kaczmarz method, have gained significant attention for solving large-scale linear systems due to their simplicity and efficiency. Meanwhile, Krylov subspace methods have emerged as a powerful class of algorithms, known for their robust theoretical foundations and rapid convergence properties. Despite
Yonghan Sun, Deren Han, Jiaxin Xie
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IEEE AccessAccurate time-domain simulation of power delivery networks (PDNs) is critical for analyzing transient behaviors in complex circuits. The combination of the matrix exponential (MEXP) method and the rational Krylov subspace method (RKSM) provides a robust ...
Gul Karaduman
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Advances in Mathematical Physics, 2017 A numerical approach is proposed for solving multidimensional parabolic diffusion and hyperbolic wave equations subject to the appropriate initial and boundary conditions. The considered numerical solutions of the these equations are considered as linear
Bashar Zogheib +2 more
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A Comprehensive Review of Matrix Equations in Dynamical Systems and Control Theory
Journal of Applied MathematicsMatrix equations are of foundational importance in the modeling, investigation, and control of dynamical systems. This review discusses various classes of matrix equations, their solutions, and their relevance in control theory and dynamical systems. Key
Chacha Stephen Chacha
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