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Q-OR and Q-MR methods

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Krylov Methods for Nonsymmetric Linear Systems

Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 57))

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Abstract

In the previous chapter we briefly introduced Krylov subspaces. Krylov methods are based on reduction of the problem to small Krylov subspaces whose dimension grows with the iteration number. Most popular Krylov methods can be classified as either a quasi-orthogonal residual (Q-OR) method or a quasi-minimal residual (Q-MR) method, with most Q-OR methods having Q-MR analogs; see [296].

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Meurant, G., Duintjer Tebbens, J. (2020). Q-OR and Q-MR methods. In: Krylov Methods for Nonsymmetric Linear Systems. Springer Series in Computational Mathematics, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-030-55251-0_3

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