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Double angle theorems for definite matrix pairs (CROSBI ID 226038)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Grubišić, Luka ; Miodragović, Suzana ; Truhar, Ninoslav Double angle theorems for definite matrix pairs // Electronic transactions on numerical analysis, 45 (2016), 33-57

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 ; sin⁡2Θ theorems

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Podaci o izdanju

45

2016.

33-57

objavljeno

1068-9613

Povezanost rada

Matematika

Indeksiranost