Double angle theorems for definite matrix pairs (CROSBI ID 226038)
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Podaci o odgovornosti
Grubišić, Luka ; Miodragović, Suzana ; Truhar, Ninoslav
engleski
Double angle theorems for definite matrix pairs
In this paper we present new double angle theorems for the rotation of the eigenspaces of Hermitian matrix pairs (H, M), where H is a non-singular matrix which can be factorized as H=GJG^*, J=diag(±1), J=diag(±1), and M is non-singular. The rotation of the eigenspaces is measured in the matrix-dependent scalar product, and the bounds belong to relative perturbation theory. The quality of the new bounds are illustrated in the numerical examples.
matrix pairs ; perturbation of eigenvectors ; sin2Θ theorems
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