Results 1 to 10 of about 511,937 (269)
Deficiency indices of block Jacobi matrices and Miura transformation
Special Matrices, 2022 We study the infinite Jacobi block matrices under the discrete Miura-type transformations which relate matrix Volterra and Toda lattice systems to each other and the situations when the deficiency indices of the corresponding operators are the same.
Osipov Andrey
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Remarks on periodic Jacobi matrices on trees [PDF]
Journal of Mathematical Physics, 2020 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 hyperbolic metric.
Jacob S. Christiansen +2 more
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Spectral representations for a class of banded Jacobi-type matrices [PDF]
Opuscula Mathematica, 2014 We describe some spectral representations for a class of non-self-adjoint banded Jacobi-type matrices. Our results extend those obtained by P.B. Naïman for (two-sided infinite) periodic tridiagonal Jacobi matrices.
Ewelina Zalot, Witold Majdak
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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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Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm. [PDF]
PLoS ONEThis paper focuses on modeling Resistor-Inductor (RL) electric circuits using a fractional Riccati initial value problem (IVP) framework. Conventional models frequently neglect the complex dynamics and memory effects intrinsic to actual RL circuits. This
Mahmoud Abd El-Hady +3 more
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Boundary value problems for second order linear difference equations: application to the computation of the inverse of generalized Jacobi matrices [PDF]
RACSAM, 2019 We have named generalized Jacobi matrices to those that are practically tridiagonal, except for the two final entries and the two first entries of its first and its last row respectively.
A.M. Encinas +1 more
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Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum [PDF]
Journal of Spectral Theory, 2020 We continue studying the connection between Jacobi matrices defined on a tree and multiple orthogonal polynomials (MOPs) that was discovered previously by the authors. In this paper, we consider Angelesco systems formed by two analytic weights and obtain
A. Aptekarev, S. Denisov, M. Yattselev
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Deficiency Indices of Block Jacobi Matrices: Survey
Contemporary Mathematics. Fundamental Directions, 2021 The paper is a survey and concerns with infinite symmetric block Jacobi matrices J with mm-matrix entries. We discuss several results on general block Jacobi matrices to be either self-adjoint or have maximal as well as intermediate deficiency indices ...
V. Budyka, M. Malamud, K. A. Mirzoev
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Fractal and Fractional, 2023 This paper pursues obtaining Jacobi spectral collocation methods to solve Caputo fractional differential equations numerically. We used the shifted Jacobi–Gauss–Lobatto or Jacobi–Gauss–Radau quadrature nodes as the collocation points and derived the ...
Zhongshu Wu +3 more
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Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials [PDF]
Transactions of the American Mathematical Society, 2018 We consider a set of measures on the real line and the corresponding system of multiple orthogonal polynomials (MOPs) of the first and second type. Under some very mild assumptions, which are satisfied by Angelesco systems, we define self-adjoint Jacobi ...
A. Aptekarev, S. Denisov, M. Yattselev
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