Roundoff error analysis of algorithms based on Krylov subspace methods

DOI10.1007/BF01731978zbMath0848.65019MaRDI QIDQ1914862

Mario Arioli, Claudia Fassino

Publication date: 9 June 1996

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

algorithmlarge sparse linear systemorthonormal basisGMRES algorithmKrylov subspacefull orthogonalization methodroundoff error propagationHouseholder orthonormal matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

Backward error analysis of the shift-and-invert Arnoldi algorithm, Numerical behaviour of the modified Gram-Schmidt GMRES implementation, A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems, The influence of orthogonality on the Arnoldi method, Theoretical and numerical comparisons of GMRES and WZ-GMRES

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