Results 11 to 20 of about 10,135,412 (297)
Characteristic Polynomial [PDF]
New Frontiers in Nanochemistry, 2020 L. Jäntschi, Sorana D. Bolboacă
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Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble [PDF]
Electronic Journal of Probability, 2023 We consider the complex Elliptic Ginibre Ensemble, a family of random matrix models introduced by Girko that interpolates between the Ginibre Ensemble and the Gaussian Unitary Ensemble and such that its empirical spectral measure converges to the uniform
Quentin Franccois +2 more
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On the Characteristic Polynomial of the Eigenvalue Moduli of Random Normal Matrices [PDF]
Constructive approximation, 2022 We study the characteristic polynomial pn(x)=∏j=1n(|zj|-x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Sunggyu Byun, C. Charlier
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Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2021 Conditional on the extended Riemann hypothesis, we show that with high probability, the characteristic polynomial of a random symmetric $\{\pm 1\}$ -matrix is irreducible. This addresses a question raised by Eberhard in recent work. The main innovation
Asaf Ferber +3 more
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Skew characteristic polynomial of graphs and embedded graphs [PDF]
Communications in Mathematics, 2022 We introduce a new one-variable polynomial invariant of graphs, which we call the skew characteristic polynomial. For an oriented simple graph, this is just the characteristic polynomial of its anti-symmetric adjacency matrix.
Riya Dogra +3 more
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Sparse matrices: convergence of the characteristic polynomial seen from infinity [PDF]
Electronic Journal of Probability, 2021 We prove that the reverse characteristic polynomial det(In − zAn) of a random n×nmatrixAn with iidBernoulli(d/n) entries converges in distribution towards the random infinite product ∞ ∏ `=1 (1− z)` where Y` are independent Poisson(d/`) random variables.
S. Coste
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On the Sombor characteristic polynomial and Sombor energy of a graph [PDF]
Computational and Applied Mathematics, 2021 Let G be a simple graph with vertex set V(G)={v1,v2,…,vn}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Nima Ghanbari
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How Good Can the Characteristic Polynomial Be for Correlations? [PDF]
International Journal of Molecular Sciences, 2007 Lorentz Jäntschi +2 more
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Factorization of the Characteristic Polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a new method for showing that the roots of the characteristic polynomial of a finite lattice are all nonnegative integers. Our method gives two simple conditions under which the characteristic polynomial factors.
Joshua Hallam, Bruce Sagan
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On characteristic polynomial and energy of Sombor matrix
Open Journal of Discrete Applied Mathematics, 2021 Let \(G\) be a simple graph with vertex set \(V=\{v_1,v_2,\ldots,v_n \}\), and let \(d_i\) be the degree of the vertex \(v_i\). The Sombor matrix of \(G\) is the square matrix \(\mathbf A_{SO}\) of order \(n\), whose \((i,j)\)-element is \(\sqrt{d_i^2 ...
Gowtham Kalkere Jayanna, I. Gutman
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