On Dashnic--Zusmanovich (DZ) and Dashnic--Zusmanovich type (DZT) matrices and their inverses
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXI, Tome 472 (2018), pp. 145-165
Voir la notice de l'article provenant de la source Math-Net.Ru
The paper is mainly devoted to studying the so-called Dashnic–Zusmanovich type (DZT) matrices, introduced recently. Interrelations among the DZT matrices and related subclasses of the class of nonsingular $\mathcal{H}$-matrices, namely, the Dashnic–Zusmanovich (DZ) and $S$-SDD matrices are considered. Upper bounds for the $l_\infty$-norm of the inverses to DZT, DZ, and strictly diagonally dominant (SDD) matrices are obtained.
@article{ZNSL_2018_472_a10,
author = {L. Yu. Kolotilina},
title = {On {Dashnic--Zusmanovich} {(DZ)} and {Dashnic--Zusmanovich} type {(DZT)} matrices and their inverses},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {145--165},
publisher = {mathdoc},
volume = {472},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a10/}
}
TY - JOUR AU - L. Yu. Kolotilina TI - On Dashnic--Zusmanovich (DZ) and Dashnic--Zusmanovich type (DZT) matrices and their inverses JO - Zapiski Nauchnykh Seminarov POMI PY - 2018 SP - 145 EP - 165 VL - 472 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a10/ LA - ru ID - ZNSL_2018_472_a10 ER -
L. Yu. Kolotilina. On Dashnic--Zusmanovich (DZ) and Dashnic--Zusmanovich type (DZT) matrices and their inverses. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXI, Tome 472 (2018), pp. 145-165. http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a10/