Results 51 to 60 of about 511,937 (269)

On bounded complex Jacobi matrices and related moment problems in the complex plane [PDF]

open access: yesSurveys 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
doaj  

Performance Comparison of GPU-Based Jacobi Solvers Using CUDA Provided Synchronization Methods

open access: yesIEEE Access, 2020
In this manuscript, variants of Jacobi solver implementation on general purpose graphical processing units (GPGPU) have been purposed and compared. During this work, parallel implementation of finite element method (FEM) using Poisson's equation on ...
Maria Aslam   +3 more
doaj   +1 more source

Darboux transformation of symmetric Jacobi matrices and Toda lattices

open access: yesFrontiers in Applied Mathematics and Statistics
Let 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
doaj   +1 more source

Finite gap Jacobi matrices: An announcement

open access: yesJournal of Computational and Applied Mathematics, 2009
17 pages, 2 ...
Christiansen, Jacob S.   +2 more
openaire   +5 more sources

On the Fourier expansions of Jacobi forms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier expansions of Jacobi forms of indexes p, p2, and pq for distinct odd primes p, q.
Howard Skogman
doaj   +1 more source

Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures [PDF]

open access: yesExperimental Mathematics, 2016
We study the properties and asymptotics of the Jacobi matrices associated with equilibrium measures of the weakly equilibrium Cantor sets. These family of Cantor sets were defined, and different aspects of orthogonal polynomials on them were studied ...
G. Alpan, A. Goncharov, A. N. Simsek
semanticscholar   +1 more source

Four-body bound states in momentum space: the Yakubovsky approach without two-body t − matrices

open access: yesFrontiers in Physics, 2023
This study presents a solution to the Yakubovsky equations for four-body bound states in momentum space, bypassing the common use of two-body t − matrices.
M. Mohammadzadeh   +4 more
doaj   +1 more source

Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices [PDF]

open access: yesOpuscula Mathematica, 2020
We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
Ayoub Harrat   +2 more
doaj   +1 more source

Eigenvalues for Perturbed Periodic Jacobi Matrices by the Wigner-von Neumann Approach [PDF]

open access: yes, 2016
The Wigner-von Neumann method, which has previously been used for perturbing continuous Schrödinger operators, is here applied to their discrete counterparts. In particular, we consider perturbations of arbitrary $${T}$$T-periodic Jacobi matrices.
Edmund Judge, S. Naboko, I. Wood
semanticscholar   +1 more source

Compressibility Function and Speed of Sound in the Non‐Commutative Quantum Hadrodynamics Type‐I Model for Neutron Stars

open access: yesAstronomische Nachrichten, EarlyView.
ABSTRACT We investigate the effects of a minimal measurable length on neutron stars, within the quantum hadrodynamics (QHD‐I) model modified by the Generalized Uncertainty Principle (GUP). Working in a deformed Poisson algebra framework, we incorporate GUP effects via a time‐invariant transformation of the phase space volume, effectively reducing the ...
João Gabriel Galli Gimenez   +2 more
wiley   +1 more source

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