Results 31 to 40 of about 22,776 (283)
Mixed-Dimensional Auxiliary Space Preconditioners [PDF]
SIAM Journal on Scientific Computing, 2020 This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this setting. With the use of conforming mixed finite element spaces, we then expand these results to the discrete case and obtain a ...
Budisa, Ana, Boon, Wietse, Hu, Xiaozhe
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A modified variant of HSS preconditioner for generalized saddle point problems
Advances in Mechanical Engineering, 2022 Recently, Zhang [Numerical Linear Algebra with Applications, 2018: e2166] constructed an efficient variant of Hermitian and skew-Hermitian splitting (HSS) preconditioner for generalized saddle point problems, and gave the corresponding theoretical ...
Li-Tao Zhang, Yi-Fan Zhang
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Sparse Recovery Analysis of Preconditioned Frames via Convex Optimization [PDF]
, 2017 Orthogonal Matching Pursuit and Basis Pursuit are popular reconstruction algorithms for recovery of sparse signals. The exact recovery property of both the methods has a relation with the coherence of the underlying redundant dictionary, i.e. a frame.
Jampana, Phanindra +3 more
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Quantum Circulant Preconditioner for Linear System of Equations [PDF]
, 2018 We consider the quantum linear solver for $Ax=b$ with the circulant preconditioner $C$. The main technique is the singular value estimation (SVE) introduced in [I. Kerenidis and A. Prakash, Quantum recommendation system, in ITCS 2017].
A. Ambainis +7 more
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Journal of Applied Mathematics, 2012 We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the ...
Jia Liu
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Combined Preconditioning with Applications in Reservoir Simulation
, 2013 We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: (1) a norm-convergent iterative method (i.e. smoother) and (2) a preconditioner. The resulting
Hu, Xiaozhe +6 more
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A preconditioner for the Schur complement matrix [PDF]
, 2006 A preconditioner for iterative solution of the interface problem in Schur Complement Domain Decomposition Methods is presented. This preconditioner is based on solving a global problem in a narrow strip around the interface.
Dalcin, Lisandro Daniel +5 more
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A relaxed block splitting preconditioner for complex symmetric indefinite linear systems
Open Mathematics, 2018 In this paper, we propose a relaxed block splitting preconditioner for a class of complex symmetric indefinite linear systems to accelerate the convergence rate of the Krylov subspace iteration method and the relaxed preconditioner is much closer to the ...
Huang Yunying, Chen Guoliang
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, 2015 We propose and analyze an overlapping Schwarz preconditioner for the $p$ and $hp$ boundary element method for the hypersingular integral equation in 3D. We consider surface triangulations consisting of triangles. The condition number is bounded uniformly
Führer, Thomas +3 more
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Clusters, preconditioners, convergence
Linear Algebra and its Applications, 1997 The authors address the problem of clusterization of singular values. In this context, they present a technique that relates the existence of clusters of singular values to the existence of clusters of eigenvalues. This clusterization technique is based on the notion of regular preconditioners for a sequence of complex matrices.
Tyrtyshnikov, E.E. +2 more
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