Convergence of the Isometric Arnoldi Process

DOI10.1137/S0895479803438201zbMath1082.65038OpenAlexW1980461266MaRDI QIDQ5317627

Marc Van Barel, Simon Helsen, Arno B. J. Kuijlaars

Publication date: 19 September 2005

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479803438201

zbMATH Keywords

convergencenumerical examplesRitz valuesKrylov subspace methodspotential energyisometric Arnoldi process

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (8)

A numerical solution of the constrained energy problem ⋮ A numerical solution of the constrained weighted energy problem ⋮ Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions ⋮ Energy conservation and unitary approximation numbers ⋮ On investigating GMRES convergence using unitary matrices ⋮ An inexact Krylov-Schur algorithm for the unitary eigenvalue problem ⋮ Structured Eigenvalue Problems ⋮ Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

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