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Articles

Inverse H-matricesPublished in Elsevier Inc.

2019

Volume: 572

Pages: 1 - 31

The notion of inverse M-matrices has been quite well studied and many of their properties have been documented in the literature. In this article, a proposal to consider the larger class of inverse H-matrices, is made. First, certain special types of real matrices are identified as inverse H-matrices. While these matrices are not inverse M-matrices in general, their definitions are inspired by matrices that are known to be inverse M-matrices. In the rest of the article, motivated by results that hold for inverse M-matrices, the endeavor will be to attempt at proving corresponding results for inverse H-matrices. It is shown that for the full class of inverse H-matrices, many of these extensions are false. Nevertheless, two subclasses of real inverse H-matrices are identified, where these generalizations are shown to hold. © 2019 Elsevier Inc.

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About the journal

Journal | Data powered by TypesetLinear Algebra and Its Applications |
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Publisher | Data powered by TypesetElsevier Inc. |

ISSN | 00243795 |

Open Access | No |

Concepts (7)

- Inverse problems
- COMPARISON MATRIX
- H MATRIX
- H-MATRICES
- M-matrices
- REAL MATRICES
- Matrix algebra