L. Yu. Kolotilina, “Bounds on the <nobr>$l_\infty$</nobr> norm of inverses for certain block matrices”, Zap. Nauchn. Sem. POMI, 2015, Volume 439,Pages <nobr>145

This article is cited in 9 papers

Bounds on the $l_\infty$ norm of inverses for certain block matrices

L. Yu. Kolotilina

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The paper suggests upper bounds for the $l_\infty$ norm of the inverses to block matrices belonging to certain subclasses of the class of block $\mathcal H$-matrices, which improve and supplement known results.

Key words and phrases: inverse matrix, block matrix, $\mathcal M$-matrix, $\mathcal H$-matrix, block $\mathcal H$-matrix, infinity norm, upper bound, SDD matrix, $S$-SDD matrix, Nekrasov matrix, $S$-Nekrasov matrix, quasi-Nekrasov matrix, $\mathrm P\mathcal H$-matrix, block $\mathrm P\mathcal H$-matrix.

UDC: 512.643

Received: 29.10.2015