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Deflation in Krylov subspace methods and distance to uncontrollability (CROSBI ID 138594)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kressner, Daniel Deflation in Krylov subspace methods and distance to uncontrollability // Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche, 46 (2007), 2; 309-318

Podaci o odgovornosti

Kressner, Daniel

engleski

Deflation in Krylov subspace methods and distance to uncontrollability

The task of extracting from a Krylov decomposition the approximation to an eigenpair that yields the smallest backward error can be phrased as finding the smallest perturbation which makes an associated matrix pair uncontrollable. Exploiting this relationship, we propose a new deflation criterion, which potentially admits earlier deflations than standard deflation criteria. Along these lines, a new deflation procedure for shift-and-invert Krylov methods is developed. Numerical experiments demonstrate the merits and limitations of this approach.

Matrix eigenvalue problem; Krylov subspace method; Uncontrollability

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Podaci o izdanju

46 (2)

2007.

309-318

objavljeno

0430-3202

1827-1510

Povezanost rada

Matematika

Indeksiranost