Results 31 to 40 of about 17,645 (222)
From superintegrability to tridiagonal representation of β-ensembles
Physics Letters B, 2022 The wonderful formulas by I. Dumitriu and A. Edelman [1,2] rewrite β-ensemble, with eigenvalue integrals containing Vandermonde factors in the power 2β, through integrals over tridiagonal matrices, where β-dependent are the powers of individual matrix ...
A. Mironov, A. Morozov, A. Popolitov
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VanderLaan Circulant Type Matrices
Abstract and Applied Analysis, 2015 Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices.
Hongyan Pan, Zhaolin Jiang
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Tridiagonal realization of the anti-symmetric Gaussian $\beta$-ensemble [PDF]
, 2009 The Householder reduction of a member of the anti-symmetric Gaussian unitary ensemble gives an anti-symmetric tridiagonal matrix with all independent elements.
Forrester P. J. +7 more
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Schrödinger’s tridiagonal matrix
Special Matrices, 2021 In the third part of his famous 1926 paper ‘Quantisierung als Eigenwertproblem’, Schrödinger came across a certain parametrized family of tridiagonal matrices whose eigenvalues he conjectured.
Kovačec Alexander
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On periodic block-tridiagonal matrices
Linear Algebra and its Applications, 1992 Consider an \(N\times N\) tridiagonal matrix \(X\) with entries \(a_1,\ldots,a_N\) down the main diagonal,\(b_1,\ldots, b_{N-1}\) and \(c_1,\ldots,c_{N-1}\) down the super and sub-diagonal files respectively, and zeros elsewhere. Suppose further that the \(a\)-, \(b\)- and \(c\)-sequences are periodic of period \(m\) and that \(N\equiv -1\pmod m ...
ROMANI, FRANCESCO, P. ROZSA
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An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results.
Baijuan Shi, Can Kızılateş
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The eigenvalues of tridiagonal sign matrices are dense in the spectra of periodic tridiagonal sign operators [PDF]
, 2015 Chandler-Wilde, Chonchaiya and Lindner conjectured that the set of eigenvalues of finite tridiagonal sign matrices ($\pm 1$ on the first sub- and superdiagonal, $0$ everywhere else) is dense in the set of spectra of periodic tridiagonal sign operators on
Böttcher +12 more
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On Tridiagonal Correlation Matrices
Pan-American Journal of MathematicsWe investigate the conditions under which symmetric tridiagonal matrices represent valid correlation matrices. By exploiting a recursive determinant relationship, we derive explicit sufficient conditions for positive definiteness and highlight connections with several existing criteria.
Siyang Tao
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Fine Spectra of Symmetric Toeplitz Operators
Abstract and Applied Analysis, 2012 The fine spectra of 2-banded and 3-banded infinite Toeplitz matrices were examined by several authors. The fine spectra of n-banded triangular Toeplitz matrices and tridiagonal symmetric matrices were computed in the following papers: Altun, “On the fine
Muhammed Altun
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Distributed NEGF Algorithms for the Simulation of Nanoelectronic Devices with Scattering [PDF]
, 2011 Through the Non-Equilibrium Green's Function (NEGF) formalism, quantum-scale device simulation can be performed with the inclusion of electron-phonon scattering.
Cheng-Kok Koh +8 more
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