A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices
Electronic transactions on numerical analysis, Tome 33 (2009)
This paper proposes a new type of iteration for computing eigenvalues of semiseparable (plus diagonal) matrices based on a structured-rank factorization. Remarks on higher order semiseparability ranks are also made.
Classification :
65F05
Keywords: QH algorithm, structured rank matrices, implicit computations, eigenvalue, QR algorithm, rational QR iteration
Keywords: QH algorithm, structured rank matrices, implicit computations, eigenvalue, QR algorithm, rational QR iteration
@article{ETNA_2009__33__a4,
author = {Vandebril, Raf and Van Barel, Marc and Mastronardi, Nicola},
title = {A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices},
journal = {Electronic transactions on numerical analysis},
year = {2009},
volume = {33},
zbl = {1188.65047},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2009__33__a4/}
}
TY - JOUR AU - Vandebril, Raf AU - Van Barel, Marc AU - Mastronardi, Nicola TI - A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices JO - Electronic transactions on numerical analysis PY - 2009 VL - 33 UR - http://geodesic.mathdoc.fr/item/ETNA_2009__33__a4/ LA - en ID - ETNA_2009__33__a4 ER -
%0 Journal Article %A Vandebril, Raf %A Van Barel, Marc %A Mastronardi, Nicola %T A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices %J Electronic transactions on numerical analysis %D 2009 %V 33 %U http://geodesic.mathdoc.fr/item/ETNA_2009__33__a4/ %G en %F ETNA_2009__33__a4
Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola. A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices. Electronic transactions on numerical analysis, Tome 33 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__33__a4/