Results 1 to 10 of about 1,572,263 (313)
Electronic Research Archive, 2022 Consider the problem of finding the maximal nonpositive solvent $ \varPhi $ of the quadratic matrix equation (QME) $ X^2 + BX + C = 0 $ with $ B $ being a nonsingular $ M $-matrix and $ C $ an $ M $-matrix such that $ B^{-1}C\ge 0 $. Such QME arises from
Cairong Chen
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M-matrix and inverse M-matrix extensions
Special 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
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Group inverse extensions of certain $M$-matrix properties
The Electronic Journal of Linear Algebra, 2016 In this article, generalizations of certain $M$-matrix properties are proved for the group generalized inverse. The proofs use the notion of proper splittings of one type or the other. In deriving certain results, we make use of a recently introduced notion of a $B_{\#}$-splitting.
A. K., T. Kurmayya, K. C. Sivakumar
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Extended Perron complements of M-matrices
AIMS Mathematics, 2023 This paper aims to consider the extended Perron complements for the collection of M-matrices. We first exhibit the connection between the extended Perron complements of M-matrices and nonnegative matrices.
Qin Zhong, Chunyan Zhao
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Inverse M-matrix, a new characterization [PDF]
Linear 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
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Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ [PDF]
Mathematics 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
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New lower bounds of the minimum eigenvalue for the Fan product of several M-matrices
AIMS Mathematics, 2023 In this study, we generalize the definition of the Fan product of two M-matrices to any $ k $ M-matrices $ {{A}_{1}}, {{A}_{2}}, \cdots, {{A}_{k}} $ of order $ n $.
Qin Zhong
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Matrix Analysis for Continuous-Time Markov Chains
Special 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.
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Two new generalized iteration methods for solving absolute value equations using M-matrix
AIMS Mathematics, 2022 In this paper, we present two new generalized Gauss-Seidel iteration methods for solving absolute value equations Ax−|x|=b, where A is an M-matrix. Furthermore, we demonstrate their convergence under specific assumptions.
Rashid Ali +3 more
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New inequalities for the Hadamard product of an M-matrix and an inverse M-matrix [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Jianxing, Sang, Caili, Wang, Feng
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