Double angle theorems for definite matrix pairs

Grubišić, Luka; Miodragović, Suzana; Truhar, Ninoslav

Pregled bibliografske jedinice broj: 806198

Double angle theorems for definite matrix pairs

Grubišić, Luka; Miodragović, Suzana; Truhar, Ninoslav

Double angle theorems for definite matrix pairs // Electronic transactions on numerical analysis, 45 (2016), 33-57 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 806198 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Double angle theorems for definite matrix pairs

Autori
Grubišić, Luka ; Miodragović, Suzana ; Truhar, Ninoslav

Izvornik
Electronic transactions on numerical analysis (1068-9613) 45 (2016); 33-57

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

Ključne riječi
matrix pairs ; perturbation of eigenvectors ; sin⁡2Θ theorems

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA

Projekti:
HRZZ-IP-2014-09-9540 - Optimizacija parametarski ovisnih mehaničkih sustava (OptPDMechSys) (Truhar, Ninoslav, HRZZ - 2014-09) ( CroRIS)
HRZZ-IP-2013-11-9345 - Matematičko modeliranje, analiza i računanje s primjenama na kompleksne mehaničke sustave (MMACACMS) (Drmač, Zlatko, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Ninoslav Truhar (autor)