Results 41 to 50 of about 475,064 (272)
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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Spectra and pseudo-spectra of tridiagonal k-Toeplitz matrices and the topological origin of the non-Hermitian skin effect [PDF]
Journal of Physics A: Mathematical and TheoreticalWe establish new results on the spectra and pseudo-spectra of tridiagonal k-Toeplitz operators and matrices. In particular, we prove the connection between the winding number of the eigenvalues of the symbol function and the exponential decay of the ...
H. Ammari +4 more
semanticscholar +1 more source
Identities and exponential bounds for transfer matrices [PDF]
, 2012 This paper is about analytic properties of single transfer matrices originating from general block-tridiagonal or banded matrices. Such matrices occur in various applications in physics and numerical analysis.
Molinari, Luca G
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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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Analytical Inversion of Tridiagonal Hermitian Matrices
Mathematical Problems of Computer Science, 2022 In this paper we give an algorithm for inverting complex tridiagonal Hermitian matrices with optimal computational efforts. For matrices of a special form and, in particular, for Toeplitz matrices, the derived formulas lead to closed-form expressions for
Yu. R. Hakopian, Avetik H. Manukyan
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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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Differential qd algorithm with shifts for rank-structured matrices [PDF]
, 2012 Although QR iterations dominate in eigenvalue computations, there are several important cases when alternative LR-type algorithms may be preferable.
Zhlobich, Pavel
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Perturbation series for Jacobi matrices and the quantum Rabi model [PDF]
Opuscula Mathematica, 2021 We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum.
Mirna Charif, Lech Zielinski
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Tridiagonalization of completely nonnegative matrices [PDF]
Mathematics of Computation, 1972 Let M = [ m i j ] i , j = 1 n M = [{m_{ij}}]_{i,j = 1}^n be completely nonnegative (CNN), i.e., every minor of M ...
G. J. Habetler, J. W. Rainey
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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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