Naslov
Relative perturbation bound for invariant subspaces of Hermitian matrix

Autori
Truhar, Ninoslav ; Slapničar, Ivan

Izvornik
Glasnik matematički 35 (2000), 2; 221-232

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hermitian matrix; invariant subspace; spectral projection;

Sažetak
We give a bound for the perturbations of invariant subspaces of a non-singular Hermitian matrix $H$ under relative additive perturbations of $H$. Such perturbations include the case when the elements of $H$ are known up to some relative tolerance. Our bound is, in appropriate cases, sharper than the classical bounds, and it generalizes some of the recent relative perturbation results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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