caa a22 4500 605522774 CHVBK 20210128105158.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2401-x doi (NATIONALLICENCE)springer-10.1007/s10958-015-2401-x Kolotilina L. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia aut Bounds for the Inverses of Generalized Nekrasov Matrices [Elektronische Daten] [L. Kolotilina] The paper considers upper bounds for the infinity norm of the inverse for matrices in two subclasses of the class of (nonsingular) H-matrices, both of which contain the class of Nekrasov matrices. The first one has been introduced recently and consists of the so-called S-Nekrasov matrices. For S-Nekrasov matrices, the known bounds are improved. The second subclass consists of the socalled QN- (quasi-Nekrasov) matrices, which are defined in the present paper. For QN-matrices, an upper bound on the infinity norm of the inverses is established. It is shown that in application to Nekrasov matrices the new bounds are generally better than the known ones. Bibliography: 15 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/5(2015-06-01), 786-794 1072-3374 207:5<786 2015 207 10958 https://doi.org/10.1007/s10958-015-2401-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2401-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kolotilina L. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/5(2015-06-01), 786-794 1072-3374 207:5<786 2015 207 10958 SWISSBIB 454150458