Results 1 to 10 of about 371 (70)
Bounds on normalized Laplacian eigenvalues of graphs
Journal of Inequalities and Applications, 2014 Let G be a simple connected graph of order n, where n≥2. Its normalized Laplacian eigenvalues are 0=λ1≤λ2≤⋯≤λn≤2. In this paper, some new upper and lower bounds on λn are obtained, respectively.
Jianxi Li, Ji-Ming Guo, W. Shiu
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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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Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
Journal of Inequalities and Applications, 2013 Let A and B be nonsingular M-matrices. Some new lower bounds on the minimum eigenvalue q(A∘B−1) for the Hadamard product of A and B−1 are given. These bounds improve the corresponding results of Chen (Linear Algebra Appl.
Duanmei Zhou +3 more
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The Number of P-Vertices of Singular Acyclic Matrices: An Inverse Problem
Discussiones Mathematicae Graph Theory, 2020 Let A be a real symmetric matrix. If after we delete a row and a column of the same index, the nullity increases by one, we call that index a P-vertex of A.
Du Zhibin, da Fonseca Carlos M.
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The improved disc theorems for the Schur complements of diagonally dominant matrices
Journal of Inequalities and Applications, 2013 The theory of Schur complement is very important in many fields such as control theory and computational mathematics. In this paper, applying the properties of Schur complement, utilizing some inequality techniques, some new estimates of diagonally ...
Juan Zhang, Jianzhou Liu, Gen Tu
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A stabilization theorem for dynamics of continuous opinions [PDF]
, 2005 A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like the models of Hegselmann-Krause and Weisbuch-Deffuant).
Ben-Naim +5 more
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Journal of Inequalities and Applications, 2013 By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally dominant degree on the Schur complement of matrices are obtained, which improve the main results of Liu (SIAM J. Matrix Anal. Appl. 27:665-674,
Yaotang Li, Feng Wang
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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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Some new inequalities for the Hadamard product of M-matrices
Journal of Inequalities and Applications, 2013 If A and B are n×n nonsingular M-matrices, a new lower bound for the minimum eigenvalue τ(B∘A−1) for the Hadamard product of B and A−1 is derived. As a consequence, a new lower bound for the minimum eigenvalue τ(A∘A−1) for the Hadamard product of A and ...
Fu-bin Chen
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The almost semimonotone matrices
Special Matrices, 2019 A (strictly) semimonotone matrix A ∈ ℝn×n is such that for every nonzero vector x ∈ ℝn with nonnegative entries, there is an index k such that xk > 0 and (Ax)k is nonnegative (positive).
Wendler Megan
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