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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 463, Pages 224–239
(Mi znsl6514)
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This article is cited in 8 scientific papers (total in 8 papers)
Two-level least squares methods in Krylov subspaces
V. P. Il'inab a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
Two-level least squares acceleration approaches are applied to Chebyshev acceleration and conjugate residual method with restarts for solving systems of linear algebraic equations with sparse nonsymmetric matrices arising in finite volume or finite element approximations of boundary value problems on irregular grids. Application of the proposed idea to other iterative restarted processes also is considered. The efficiency of the algorithms proposed is investigated numerically on a set of model Dirichlet problems for the convection-diffusion equation.
Key words and phrases:
sparse matrices, Krylov subspaces, two-level least squares methods, conjugate residual and Chebyshev acceleration methods, numerical experiments.
Received: 01.11.2017
Citation:
V. P. Il'in, “Two-level least squares methods in Krylov subspaces”, Computational methods and algorithms. Part XXX, Zap. Nauchn. Sem. POMI, 463, POMI, St. Petersburg, 2017, 224–239; J. Math. Sci. (N. Y.), 232:6 (2018), 892–902
Linking options:
https://www.mathnet.ru/eng/znsl6514 https://www.mathnet.ru/eng/znsl/v463/p224
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Abstract page: | 157 | Full-text PDF : | 46 | References: | 33 |
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