Results 131 to 140 of about 14,496,760 (259)

Deterministic sketching for Krylov subspace methods

CoRR
Randomized 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.
openaire   +3 more sources

Image Deblurring with Krylov Subspace Methods

, 2011
Image deblurring, i.e., reconstruction of a sharper image from a blurred and noisy one, involves the solution of a large and very ill-conditioned system of linear equations, and regularization is needed in order to compute a stable solution.
Hansen, Per Christian
core  

Linear Solvers in OpenFOAM: A Technical Review and SIMPLE Convergence Study

Fluids
This article reviews the linear solvers available in OpenFOAM and assesses their impact on the convergence behaviour of the SIMPLE algorithm. The discretisation of transport equations in CFD results in large and sparse linear systems, for which the ...
Mohamed El Abbassi, Cornelis Vuik
doaj   +1 more source

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
doaj   +1 more source

A Fully Implicit Coupled Scheme for Mixed Elastohydrodynamic Problems on Co-Allocated Grids

Lubricants
In 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
doaj   +1 more source

Krylov Subspace Methods for Large-Scale Matrix Problems in Control

, 2002
This paper presents a brief but state-of-the-art survey of some of existing Krylov subspace methods for large-scale matrix problems in control.
Biswa Nath Datta
core  

Krylov Subspace Methods and Applications to System and Control Problems

, 2007
In this report the Krylov subspace methods are reviewed and some applications in linear system theory and modern control theory are introduced.
Huipin Zhang
core  

Adaptive Solution of Infinite Linear Systems by Krylov Subspace Methods [PDF]

, 2003
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 ...
Romani, Francesco, Favati, Paola, Menchi, Ornella, Lotti, Grazia   +3 more
core  

A Comprehensive Review of Matrix Equations in Dynamical Systems and Control Theory

Journal of Applied Mathematics
Matrix 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
doaj   +1 more source

Data-Driven Optimization of the Gamma Parameter in Rational Krylov Subspace Methods for Efficient Transient Simulation of Power Delivery Networks

IEEE Access
Accurate 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
doaj   +1 more source