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Linear Algebra and its Applications
Article . 2020 . Peer-reviewed
License: Elsevier Non-Commercial
Data sources: Crossref
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zbMATH Open
Article . 2020
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2020
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Inverse M-matrix, a new characterization

Inverse \(M\)-matrix, a new characterization
Authors: Claude Dellacherie; Servet Martínez; Jaime San Martín;

Inverse M-matrix, a new characterization

Abstract

In this article we present a new characterization of inverse M-matrices, inverse row diagonally dominant M-matrices and inverse row and column diagonally dominant M-matrices, based on the positivity of certain inner products.

9 pages

Country
Chile
Related Organizations
Keywords

Markov chains, 15B35 (Primary), 15B51, 60J10, complete maximum principle, Probability (math.PR), G.3, Markov chains (discrete-time Markov processes on discrete state spaces), potentials, FOS: Mathematics, Inverse M-matrix, Complete Maximum Principle, Theory of matrix inversion and generalized inverses, M-matrix, matrix inverse, Mathematics - Probability, Potentials, Stochastic matrices

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze