Perturbation bounds of the Krylov bases and associated Hessenberg forms

DOI10.1016/S0024-3795(96)00299-6zbMath0884.15004OpenAlexW2000259795WikidataQ127374502 ScholiaQ127374502MaRDI QIDQ1369342

Sergey V. Kuznetsov

Publication date: 4 February 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00299-6

zbMATH Keywords

condition numberKrylov subspaceHessenberg formKrylov basisperturbation of matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Conditioning of matrices (15A12)

Related Items (4)

On sensitivity of Gauss-Christoffel quadrature ⋮ Krylov solvability under perturbations of abstract inverse linear problems ⋮ Condition numbers for Lanczos bidiagonalization with complete reorthogonalization ⋮ Sensitivity analysis of the Lanczos reduction

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• Condition number of the Krylov bases and subspaces
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
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