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Journal Articles Numerical Linear Algebra with Applications Year : 2019

ChebStaBlkCG: A block variant of ChebFilterCG

Ahmed Touhami
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Abstract

Summary The behavior of ChebFilterCG (an algorithm that combines the Chebyshev filter and Conjugate Gradient) applied to systems with unfavorable eigenvalue distribution is examined. To improve the convergence, a hybrid approach combining a stabilized version of the block conjugated gradient with Chebyshev polynomials as preconditioners (ChebStaBlkCG) is proposed. The performance of ChebStaBlkCG is illustrated and validated on a set of linear systems. It is shown how ChebStaBlkCG can be used to accelerate the block Cimmino method and to solve linear systems with multiple right‐hand sides.
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Dates and versions

hal-04306743 , version 1 (25-11-2023)

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Miloud Sadkane, Ahmed Touhami. ChebStaBlkCG: A block variant of ChebFilterCG. Numerical Linear Algebra with Applications, 2019, 26 (2), ⟨10.1002/nla.2227⟩. ⟨hal-04306743⟩
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