Hessenberg matrices in krylov subspaces and the computation of the spectrum

DOI10.1080/01630569508816627zbMath0837.65056OpenAlexW2018001888MaRDI QIDQ4844738

Olavi Nevanlinna

Publication date: 27 August 1995

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816627

zbMATH Keywords

Hilbert spaceKrylov subspaceHessenberg matricespolynomially convex hull of the spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Iterative numerical methods for linear systems (65F10) Numerical solutions to equations with linear operators (65J10)

Related Items (10)

Characterizations of the polynomial numerical hull of degree \(k\) ⋮ Convergence of the Arnoldi process with application to the Picard-Lindelöf iteration operator ⋮ Multicentric holomorphic calculus ⋮ The polynomial numerical hulls of Jordan blocks and related matrices. ⋮ Local operators in krylov subspaces ⋮ Upper and lower bounds on norms of functions of matrices ⋮ Polynomial numerical hulls of matrix polynomials, II ⋮ On polynomial numerical hulls of normal matrices ⋮ Computing the Spectrum and Representing the Resolvent ⋮ Generalizations of the field of values useful in the study of polynomial functions of a matrix

Cites Work

• Über die Konvergenz und Divergenz von Näherungsmethoden bei Eigenwertproblemen
• Limit spectrum of discretely converging operators
• Approximate solutions and eigenvalue bounds from Krylov subspaces
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