Bounds for the Inverses of Generalized Nekrasov Matrices

Verfasser / Beitragende:
[L. Kolotilina]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/5(2015-06-01), 786-794
Format:
Artikel (online)
ID: 605522774
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024 7 0 |a 10.1007/s10958-015-2401-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2401-x 
100 1 |a Kolotilina  |D L.  |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia  |4 aut 
245 1 0 |a Bounds for the Inverses of Generalized Nekrasov Matrices  |h [Elektronische Daten]  |c [L. Kolotilina] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/5(2015-06-01), 786-794  |x 1072-3374  |q 207:5<786  |1 2015  |2 207  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Kolotilina  |D L.  |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/5(2015-06-01), 786-794  |x 1072-3374  |q 207:5<786  |1 2015  |2 207  |o 10958 
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