Results 41 to 50 of about 3,155 (225)
On large-scale diagonalization techniques for the Anderson model of localization [PDF]
, 2006 We propose efficient preconditioning algorithms for an eigenvalue problem arising in quantum physics, namely the computation of a few interior eigenvalues and their associated eigenvectors for large-scale sparse real and symmetric indefinite matrices of ...
Bollhofer, Matthias +8 more
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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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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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Idempotent structures in optimization [PDF]
, 2001 Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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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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Alexandria Engineering Journal, 2021 This paper contributes to develop a highly accurate numerical method for solving two-dimensional mass transfer equations during convective air drying of apple slices.
Yin Yang +4 more
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Remarks on periodic Jacobi matrices on trees [PDF]
Journal of Mathematical Physics, 2021 We look at periodic Jacobi matrices on trees. We provide upper and lower bounds on the gap of such operators analogous to the well-known gap in the spectrum of the Laplacian on the upper half-plane with a hyperbolic metric. We make some conjectures about antibound states and make an interesting observation for the so-called rg-model where the ...
Jacob S. Christiansen +2 more
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On Rakhmanov’s theorem for Jacobi matrices [PDF]
Proceedings of the American Mathematical Society, 2003 We prove Rakhmanov’s theorem for Jacobi matrices without the additional assumption that the number of bound states is finite. This result solves one of Nevai’s open problems.
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Lieb–Thirring Inequalities for Jacobi Matrices
Journal of Approximation Theory, 2002 21 pages ...
Dirk Hundertmark, Barry Simon 0001
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