The Rotation of Eigenspaces of Perturbed Matrix Pairs (CROSBI ID 167350)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Grubišić, Luka ; Truhar, Ninoslav ; Veselić Krešimir
engleski
The Rotation of Eigenspaces of Perturbed Matrix Pairs
We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype example for our results we consider parameter dependent families of eigenvalue problems. We show that new estimates are a natural way to obtain sharp---as functions of the parameter indexing the family of matrix pairs---estimates for the rotation of spectral subspaces.
matrix pairs ; rotation of eigenvectors
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Podaci o izdanju
436 (11)
2012.
4161-4178
objavljeno
0024-3795
1873-1856
10.1016/j.laa.2012.01.026