Results 21 to 30 of about 3,534,092 (344)
On the permanent of a random symmetric matrix [PDF]
Selecta Mathematica, 2021 Let $M_{n}$ denote a random symmetric $n\times n$ matrix, whose entries on and above the diagonal are i.i.d. Rademacher random variables (taking values $\pm 1$ with probability $1/2$ each). Resolving a conjecture of Vu, we prove that the permanent of $M_{n}$ has magnitude $n^{n/2+o(n)}$ with probability $1-o(1)$. Our result can also be extended to more
Kwan, Matthew, Sauermann, Lisa
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On the spectrum of noisy blown-up matrices
Special Matrices, 2020 We study the eigenvalues of large perturbed matrices. We consider a pattern matrix P, we blow it up to get a large block-matrix Bn. We can observe only a noisy version of matrix Bn. So we add a random noise Wn to obtain the perturbed matrix An = Bn + Wn.
Fazekas István, Pecsora Sándor
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Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures [PDF]
Opuscula Mathematica, 2016 The paper focuses on matrix-valued polynomials satisfying a three-term recurrence relation with constant matrix coefficients. It is shown that they form an orthogonal system with respect to a matrix of measures, not necessarily symmetric. Moreover, it is
Marcin J. Zygmunt
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Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields
Special Matrices, 2021 The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero ...
Dukes Peter J., Martínez-Rivera Xavier
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Regular Steinhaus graphs of odd degree [PDF]
, 2009 A Steinhaus matrix is a binary square matrix of size $n$ which is symmetric, with diagonal of zeros, and whose upper-triangular coefficients satisfy $a_{i,j}=a_{i-1,j-1}+a_{i-1,j}$ for all $2\leq ...
Augier +13 more
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Two families of the simple iteration method, in comparison [PDF]
Компьютерные исследования и моделирование, 2012 Convergence to the solution of the linear system with real quadrate non singular matrix A with real necessary different sign eigen values of two families of simple iteration method: two-parametric and symmetrized one-parametric generated by these A and b
Pavel Nikolaevich Sorokin +1 more
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Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix [PDF]
International Journal of Computational Intelligence Systems, 2008 A method to solve linear fuzzy equations with a symmetric matrix is proposed. Ignoring the symmetry leads to an overestimation of the solution. Our method to find the solution of a system of linear fuzzy equations takes the symmetry of the matrix into ...
Annelies Vroman +2 more
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A matrix pair of an almost diagonal skew-symmetric matrix and a symmetric positive definite matrix
Linear Algebra and its Applications, 1993 Let A be skew-symmetric, B be symmetric positive definite, and the pair (A, B) have multiple eigenvalues. If A is close to Murnaghan form and B is close to diagonal form, then certain principal submatrices of A and B are specially related. In this paper we describe this relationship and quantify it under the usual asymptotic conditions.
Vjeran Hari, Noah H. Rhee
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Universal K-matrix for quantum symmetric pairs [PDF]
Journal für die Reine und Angewandte Mathematik, 2015 Let {{\mathfrak{g}}} be a symmetrizable Kac–Moody algebra and let
M. Balagovic, S. Kolb
semanticscholar +1 more source
Symmetry adapted Assur decompositions [PDF]
, 2014 Assur graphs are a tool originally developed by mechanical engineers to decompose mechanisms for simpler analysis and synthesis. Recent work has connected these graphs to strongly directed graphs, and decompositions of the pinned rigidity matrix.
Nixon, Anthony +3 more
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