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Singular irreducible M-matrices revisited
Published in Elsevier Inc.
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.
About the journal
JournalData powered by TypesetLinear Algebra and Its Applications
PublisherData powered by TypesetElsevier Inc.
Open AccessNo
Concepts (6)
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    Linear algebra
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    Mathematical techniques
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    Non negatives
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    Matrix algebra