The influence of orthogonality on the Arnoldi method
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Publication:1976921
DOI10.1016/S0024-3795(99)00100-7zbMath0948.65034MaRDI QIDQ1976921
Publication date: 13 November 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
numerical exampleseigenvalueserror boundsorthonormal basisKrylov subspace methodQR factorizationArnoldi methodorthogonalization methods
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonalization in numerical linear algebra (65F25)
Related Items
A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions ⋮ Backward error analysis of the shift-and-invert Arnoldi algorithm ⋮ Performance and Numerical Accuracy Evaluation of Heterogeneous Multicore Systems for Krylov Orthogonal Basis Computation ⋮ Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions
Uses Software
Cites Work
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