L. Yu. Kolotilina, “On block generalizations of <nobr>$\mathcal H$</nobr>-matrices”, Zap. Nauchn. Sem. POMI, 2016, Volume 453,Pages <nobr>172

On block generalizations of $\mathcal H$-matrices

L. Yu. Kolotilina

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

Abstract: The paper considers some classes of block matrices that can be regarded as block generalizations of the class of $\mathcal H$-matrices and interrelations among them. New bounds for the infinity norm of inverses for matrices in the classes under consideration are suggested.

Key words and phrases: block matrix, block comparison matrix, $\mathcal H$-matrix, block $\mathcal H$-matrix, SDD matrix, BSDD matrix, $\mathrm P\mathcal H$-matrix, $\mathrm{QP}\mathcal H$-matrix, block $\mathrm P\mathcal H$-matrix, inverse matrix, infinity norm, upper bound.

UDC: 512.643

Received: 26.10.2016