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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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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On Optimal Separation of Eigenvalues for a Quasiperiodic Jacobi Matrix [PDF]
Communications in Mathematical Physics, 2013 45 ...
Binder, Ilia, Voda, Mircea
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The Hilbert sequence and its associated Jacobi matrix [PDF]
, 2023 In this project, we investigate positive definite sequences and their associated Jacobi matrices in Hilbert space. We set out to determine the Jacobi matrix associated to the Hilbert sequence by methods described in Akhiezer’s book The Classical Moment ...
Beckler, Caleb
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Biorthogonal matrix polynomials related to Jacobi matrix polynomials
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serhan Varma, Fatma Tasdelen
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On one condition of absolutely continuous spectrum for self-adjoint operators and its applications [PDF]
Opuscula Mathematica, 2018 In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of a self-adjoint operator \(A\) by a sequence of operators \(A_n\) with absolutely ...
Eduard Ianovich
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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2016 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang +5 more
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Hamilton–Jacobi equations for nonsymmetric matrix inference
The Annals of Applied Probability, 2022 We study the high-dimensional limit of the free energy associated with the inference problem of a rank-one nonsymmetric matrix. The matrix is expressed as the outer product of two vectors, not necessarily independent. The distributions of the two vectors are only assumed to have scaled bounded supports.
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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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Hamilton–Jacobi equations for inference of matrix tensor products
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2022 44 ...
Hong-Bin Chen, Jiaming Xia
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