Criteria for nonsingular H-matrices

DOI

10.2991/iccsee.2013.149How to use a DOI?

Keywords

H-matrices, diagonally dominant matrices, strictly diagonally dominant matrix.

Abstract

Nonsingular H- matrices play a very important role in matrix analysis and numerical algebra. Based on the concept and properties of the generalized strictly diagonal dominance matrices, we partition the row and column index set of square matrix, construct a positive diagonal matrix according to the elements and row sum, column sum of the matrix as well, then obtain several new criteria for the nonsingular H- matrices, and extend the criteria of nonsingular H- matrices. Finally, advantages are illustrated by a numerical example.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Qi Chen
AU  - Min Li
PY  - 2013/03
DA  - 2013/03
TI  - Criteria for nonsingular H-matrices
BT  - Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering (ICCSEE 2013)
PB  - Atlantis Press
SP  - 582
EP  - 585
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccsee.2013.149
DO  - 10.2991/iccsee.2013.149
ID  - Chen2013/03
ER  -