Abstract
In this chapter we consider the computation of bases for the Krylov subspace \(\mathcal{K}_k(A,r_0)\). We could have used another notation for the vector on which the Krylov subspace is constructed, but in the next chapters, the Krylov subspaces we have to deal with will be based on the initial residual vector \(r_0=b-Ax_0\).
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Meurant, G., Duintjer Tebbens, J. (2020). Bases for Krylov subspaces. 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_4
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DOI: https://doi.org/10.1007/978-3-030-55251-0_4
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-55251-0
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