Max norm estimation for the inverse of block matrices

Abstract

Maximum norm bound of the inverse of a given matrix is an important issue in a wide range of applications. Motivated by this fact, we will extend the list of matrix classes for which upper bounds for max norms can be obtained. These classes are subclasses of block H-matrices, and they stand in a general position with corresponding point-wise classes. Efficiency of new results will be illustrated by numerical examples. © 2014 Elsevier Inc. All rights reserved.