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Intervals of H-matrices and inverse M-matricesPublished in Elsevier Inc.

2019

For real square matrices F,G of the same size with F≤G, consider the matrix interval [F,G]:={X:F≤X≤G}, where the order is defined element wise. It is well known that F and G are invertible M-matrices if, and only if, any matrix in [F,G] is an invertible M-matrix. Among other things, an analogue of this result to invertible H-matrices is obtained. Further, certain sufficient conditions guaranteeing that any matrix in [F,G] is an inverse M-matrix, are also presented. © 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 (6)

- Inverse problems
- H MATRIX
- H-MATRICES
- M-matrices
- Square matrices
- Matrix algebra