Results 31 to 40 of about 60,212 (199)
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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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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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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Lieb–Thirring Inequalities for Jacobi Matrices
Journal of Approximation Theory, 2002 21 pages ...
Hundertmark, Dirk, Simon, Barry
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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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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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Continued fractions and periodic jacobi matrices
Linear Algebra and its Applications, 1992 The inverse eigenvalue problem for periodic Jacobi matrices is solved. Theoretical theorems on existence for different data are given and some algorithms (based on a continued fraction expansion) for solving this problem are described.
Andrea, Stephen A., Berry, T.G.
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Reconstructing Jacobi Matrices from Three Spectra [PDF]
, 2004 Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row. We give neccessary and sufficient conditions for the spectra of the original matrix plus the spectra of the two submatrices to uniqely determine the original matrix. Our result contains Hostadt's original result as a special case.
Michor, Johanna, Teschl, Gerald
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Darboux transformation of symmetric Jacobi matrices and Toda lattices
Frontiers in Applied Mathematics and StatisticsLet J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = 𝔘𝔏) with L (or 𝔏) and U (or 𝔘) being lower and upper triangular two-diagonal matrices, respectively.
Ivan Kovalyov, Oleksandra Levina
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On bounded complex Jacobi matrices and related moment problems in the complex plane [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper we consider the following moment problem: find a positive Borel measure μ on ℂ subject to conditions ∫ zn dμ = sn, n∈ℤ+, where sn are prescribed complex numbers (moments).
Sergey M. Zagorodnyuk
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