Results 21 to 30 of about 1,319 (203)
On a Discrete Inverse Problem for Two Spectra
Discrete Dynamics in Nature and Society, 2012 A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix ...
Gusein Sh. Guseinov
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Inhomogeneous Jacobi Matrices on Trees [PDF]
Constructive Approximation, 2018 We study Jacobi matrices on trees with one end at inifinity. We show that the defect indices cannot be greater than 1 and give criteria for essential selfadjointness. We construct certain polynomials associated with matrices, which mimic orthogonal polynomials in the classical case. Nonnegativity of Jacobi matrices is studied as well.
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Results in Applied Mathematics, 2019 The optimal Jacobi parameter (ω) in Jacobi's iterative method is obtained for specific classes of matrices. We define ωopt as the worst-case optimal parameter.
Gregory J. Kimmel, Andreas Glatz
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Ergodic Jacobi Matrices and Conformal Maps [PDF]
Mathematical Physics, Analysis and Geometry, 2012 We study structural properties of the Lyapunov exponent $ $ and the density of states $k$ for ergodic (or just invariant) Jacobi matrices in a general framework. In this analysis, a central role is played by the function $w=- +i k$ as a conformal map between certain domains.
Hur, Injo, Remling, Christian
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On unbounded commuting Jacobi operators and some related issues
Concrete Operators, 2019 We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
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Block Jacobi matrices and Titchmarsh-Weyl function [PDF]
Opuscula MathematicaWe collect some results and notions concerning generalizations for block Jacobi matrices of several concepts, which have been important for spectral studies of the simpler and better known scalar Jacobi case.
Marcin Moszyński, Grzegorz Świderski
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Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices [PDF]
Opuscula Mathematica, 2010 The research included in the paper concerns a class of symmetric block Jacobi matrices. The problem of the approximation of eigenvalues for a class of a self-adjoint unbounded operators is considered.
Maria Malejki
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On Commutators and Jacobi Matrices [PDF]
Proceedings of the American Mathematical Society, 1956 The closure, W, of the set of values (Cx, x) when ||x|| = 1 is a closed convex set (Hausdorff, cf. [8, p. 34]). A complex number z will be said to belong to the interior of W if z is in W and if one of the following conditions holds: (i) If W is two-dimensional, then z does not lie on the boundary of W; (ii) If W is a line segment, then z is not an end
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A Formula for Eigenvalues of Jacobi Matrices with a Reflection Symmetry
Advances in Mathematical Physics, 2018 The spectral properties of two special classes of Jacobi operators are studied. For the first class represented by the 2M-dimensional real Jacobi matrices whose entries are symmetric with respect to the secondary diagonal, a new polynomial identity ...
S. B. Rutkevich
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Localization of Discrete Time Quantum Walks on the Glued Trees
Entropy, 2014 In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyze the walks on the glued trees, we consider a reduction to the walks on path graphs.
Yusuke Ide +3 more
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