Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897788 | Linear Algebra and its Applications | 2018 | 18 Pages |
Abstract
We generalize the bounds on the inverses of diagonally dominant matrices obtained in [16] from scalar to block tridiagonal matrices. Our derivations are based on a generalization of the classical condition of block diagonal dominance of matrices given by Feingold and Varga in [11]. Based on this generalization, which was recently presented in [3], we also derive a variant of the Gershgorin Circle Theorem for general block matrices which can provide tighter spectral inclusion regions than those obtained by Feingold and Varga.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Carlos EcheverrÃa, Jörg Liesen, Reinhard Nabben,