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Singular irreducible M-matrices revisitedPublished in Elsevier Inc.

2019

Volume: 565

Pages: 47 - 64

There are several well-known necessary and sufficient conditions for an M-matrix to possess “property c”. Specializing some of these statements, the objective here is to characterize matrices that belong to the subclass of M-matrices with “property c”, namely, singular irreducible M-matrices. A new characterization for an M-matrix A to have “property c” is given in terms of a condition involving Z-matrices C such that A≤C. A result of Fan on M-matrices is improved, and extensions to M-matrices with “property c” and singular irreducible M-matrices, are obtained. © 2018 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)

- Linear algebra
- Mathematical techniques
- M-matrices
- Non negatives
- Z MATRIX
- Matrix algebra