Results 1 to 10 of about 40 (40)
The complete positivity of symmetric tridiagonal and pentadiagonal matrices
Special Matrices, 2022 We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix AA is completely positive. Our decomposition can be applied to a wide range of matrices.
Cao Lei, McLaren Darian, Plosker Sarah
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On 3-by-3 row stochastic matrices
Special Matrices, 2023 The known constructive tests for the shapes of the numerical ranges in the 3-by-3 case are further specified when the matrices in question are row stochastic. Auxiliary results on the unitary (ir)reducibility of such matrices are also obtained.
Pham Nhi, Spitkovsky Ilya M.
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On monotone Markov chains and properties of monotone matrix roots
Special Matrices, 2022 Monotone matrices are stochastic matrices that satisfy the monotonicity conditions as introduced by Daley in 1968. Monotone Markov chains are useful in modeling phenomena in several areas.
Guerry Marie-Anne
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Diagonal dominance and invertibility of matrices
Special Matrices, 2023 A weakly diagonally dominant matrix may or may not be invertible. We characterize, in terms of combinatorial structure and sign pattern when such a matrix is invertible, which is the common case. Examples are given.
Johnson Charles Royal +2 more
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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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The spectrum of two interesting stochastic matrices
Special Matrices, 2020 The spectrum of two interesting stochastic matrices appearing in an engineering paper is completely determined. As a result, an inequality conjectured in that paper, involving two second largest eigenvalues, is easily proved.
Anghel N.
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Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem
Special Matrices, 2019 The real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix.
Marijuán C. +2 more
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The diameter of the Birkhoff polytope
Special MatricesThe geometry of the compact convex set of all n×nn\times n doubly stochastic matrices, a structure frequently referred to as the Birkhoff polytope, has been an active subject of research as of late.
Bouthat Ludovick +2 more
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On the permutation polytopes of some cyclic groups
Special MatricesIn this article, we study the combinatorics of permutation polytopes of some cyclic groups, denoted by P⟨g⟩P\langle g\rangle where g∈Sng\in {S}_{n}. We give a formula on the dimension and the number of vertices of the smallest faces containing two given
Chen Zhi, Yang Zhiwen, Zhu Kebin
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Majorization-type inequalities for (m, M, ψ)-convex functions with applications
Open MathematicsIn 2001, S. S. Dragomir introduced a generalized class of convexity, the so-called (m,M,ψ)\left(m,M,\psi )-convex functions, which covers many other classes of convexity.
Dragomir Silvestru Sever +2 more
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