Results 1 to 10 of about 19,797,232 (311)

M-matrix and inverse M-matrix extensions

open access: yesSpecial Matrices, 2020
A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J.   +6 more
doaj   +2 more sources

An inequality for the hadamard product of an M-matrix and an inverse M-matrix

open access: yesLinear Algebra and its Applications, 1988
An estimate from below the smallest eigenvalue q(A∘C) of the Hadamard product A∘C of an M-matrix A and an inverse M-matrix C is proved.
Markham, Thomas L., Fiedler, M.
core   +3 more sources

M-matrix generalized inverses of M-matrices

open access: yesLinear Algebra and its Applications, 1997
Let P be an n × n nonnegative, irreducible, and stochastic matrix, and consider the associated singular and irreducible M-matrix Q = I − P. We show that without further restrictive spectral or combinatorial assumptions on P, it is reasonable to expect ...
Neumann, M., Chen, Yonghong
core   +3 more sources

On Markham's M-matrix properties

open access: yesLinear Algebra and its Applications, 1987
If A is an n×n irreducible singular M-matrix where n > 1, it is shown that there is no positive integer m such that Am is triangular. Related results are proven for those matrices PAPt where A is a reducible singular M-matrix and P is a particular ...
Smith, Ronald L.
core   +3 more sources

Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ [PDF]

open access: yesMathematics Interdisciplinary Research, 2023
‎A nonnegative square and real matrix $R$ is a row stochastic matrix if the sum of the entries of each row is equal to one‎. ‎Let $x$‎, ‎$y \in \mathbb{R}_{n}$‎.
Ahmad Mohammadhasani   +2 more
doaj   +1 more source

Some inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix [PDF]

open access: yesJournal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Jianxing, Wang, Feng, Sang, Caili
openaire   +3 more sources

New inequalities for the Hadamard product of an M-matrix and an inverse M-matrix [PDF]

open access: yesJournal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Jianxing, Sang, Caili, Wang, Feng
openaire   +1 more source

Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix [PDF]

open access: yesJournal of Inequalities and Applications, 2013
Abstract Let A and B be nonsingular M-matrices. Some new lower bounds on the minimum eigenvalue q ( A ∘ B − 1 )
Zhou, Duanmei   +3 more
openaire   +2 more sources

Inverse M-matrix, a new characterization [PDF]

open access: yesLinear Algebra and its Applications, 2020
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.
Claude Dellacherie   +2 more
openaire   +3 more sources

Matrix Analysis for Continuous-Time Markov Chains

open access: yesSpecial Matrices, 2021
Continuous-time Markov chains have transition matrices that vary continuously in time. Classical theory of nonnegative matrices, M-matrices and matrix exponentials is used in the literature to study their dynamics, probability distributions and other ...
Le Hung V., Tsatsomeros M. J.
doaj   +1 more source

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