GMRES algorithms over 35 years

Qinmeng Zou

Applied Mathematics and Computation, 2023, vol. 445, issue C

Abstract: This paper is about GMRES algorithms for the solution of nonsingular linear systems. We first consider basic algorithms and study their convergence. We then focus on acceleration strategies and parallel algorithms that are useful for solving challenging systems. We also briefly discuss other problems, such as systems with multiple right-hand sides, shifted systems, and singular systems.

Keywords: Linear systems; Gram-Schmidt; Mixed precision; Parallel computing; Preconditioning (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:445:y:2023:i:c:s0096300323000383

DOI: 10.1016/j.amc.2023.127869

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