Results 21 to 30 of about 484,399 (236)
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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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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A Note on Reflectionless Jacobi Matrices [PDF]
Communications in Mathematical Physics, 2014 The property that a Jacobi matrix is reflectionless is usually characterized either in terms of Weyl m-functions or the vanishing of the real part of the boundary values of the diagonal matrix elements of the resolvent. We introduce a characterization in terms of stationary scattering theory (the vanishing of the reflection coefficients) and prove that
Jaksic, Vojkan +2 more
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On the calculation of Jacobi Matrices
Linear Algebra and its Applications, 1983 AbstractGiven a Jacobi matrix, the problem in question is to find the Jacobi matrix corresponding to the weight function modified by a polynomial r. Galant and Gautschi derived algorithms, based on the generalized Christoffel theorem of Uvarov, applicable when the roots of r are known.
Kautsky, J, Golub, G.H
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Asymptotics of the discrete spectrum for complex Jacobi matrices [PDF]
Opuscula Mathematica, 2014 The spectral properties and the asymptotic behaviour of the discrete spectrum for a special class of infinite tridiagonal matrices are given. We derive the asymptotic formulae for eigenvalues of unbounded complex Jacobi matrices acting in \(l^2(\mathbb{N}
Maria Malejki
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Spectral resolutions for non-self-adjoint block convolution operators [PDF]
Opuscula Mathematica, 2022 The paper concerns the spectral theory for a class of non-self-adjoint block convolution operators. We mainly discuss the spectral representations of such operators. It is considered the general case of operators defined on Banach spaces.
Ewelina Zalot
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Transportation of measure, Young diagrams and random matrices. [PDF]
, 2004 The theory of transportation of mesure for general cost functions is used to obtain a novel logarithmic Sobolev inequality for measures on phase spaces of high dimension and hence a concentration of measure inequality.
Blower, Gordon
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Periodic Jacobi matrices on trees
Advances in Mathematics, 2020 appeared as Adv. Math.
Avni, Nir +2 more
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An operational approach for solving fractional pantograph differential equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 The aim of the current paper is to construct the shifted fractional-order Jacobi functions (SFJFs) based on the Jacobi polynomials to numerically solve the fractional-order pantograph differential equations. To achieve this purpose, first the operational
H. Ebrahimi, K. Sadri
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On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p
Cumhuriyet Science Journal, 2021 The spectrum and spectral divisions of band matrices are very new and popular topics of studies. In this paper, our aims are to investigate boundedness of Jacobi matrix which is a band matrix has important role in physics and give subdivisions of the ...
Mustafa Yıldırım +2 more
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