Results 1 to 10 of about 3,164 (149)

Perturbation series for Jacobi matrices and the quantum Rabi model [PDF]

open access: yesOpuscula Mathematica, 2021
We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum.
Mirna Charif, Lech Zielinski
doaj   +1 more source

Green’s matrix from Jacobi-matrix Hamiltonian [PDF]

open access: yesJournal of Mathematical Physics, 1997
We propose two ways for determining the Green’s matrix for problems admitting Hamiltonians that have infinite symmetric tridiagonal (i.e., Jacobi) matrix form on some basis representation. In addition to the recurrence relation coming from the Jacobi-matrix, the first approach also requires the matrix elements of the Green’s operator between the first ...
Kónya, B., Lévai, G., Papp, Z.
openaire   +2 more sources

Damped Jacobi Methods Based on Two Different Matrices for Signal Detection in Massive MIMO Uplink

open access: yesJournal of Microwaves, Optoelectronics and Electromagnetic Applications, 2021
For massive multiple-input multiple-output (m-MIMO) uplink, the performances of the linear minimum mean-square error (MMSE) detector are considered near optimal, and they occupy benchmark place for most linear iterative detectors.
Aounallah Naceur
doaj   +1 more source

On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p

open access: yesCumhuriyet 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
doaj   +1 more source

Deficiency indices of block Jacobi matrices and Miura transformation

open access: yesSpecial 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
doaj   +1 more source

Application of linear iterative methods for the proximity effect correction in electron beam lithography

open access: yesAIP Advances, 2023
The Jacobi linear iterative method and weight Jacobi method (WJM) are introduced for solving the large-scale linear problem in the proximity effect correction (PEC) of electron beam lithography.
J. Xu, S. Yang, L. Dong, Y. Wei
doaj   +1 more source

Moments of the Hermitian Matrix Jacobi Process [PDF]

open access: yesJournal of Theoretical Probability, 2017
To appear in J.
Deleaval, Luc, Demni, Nizar
openaire   +4 more sources

Integration of the finite complex Toda lattice with a self-consistent source

open access: yesPartial Differential Equations in Applied Mathematics, 2023
In the paper, we derive a finite complex Toda lattice with a self-consistent source. We discuss the complete integrability of the constructed systems that is based on the transformation to the spectral data of an associated finite Jacobi matrix.
B.A. Babajanov   +2 more
doaj   +1 more source

Generated Image Editing Method Based on Global-Local Jacobi Disentanglement for Machine Learning

open access: yesSensors, 2023
Accurate semantic editing of the generated images is extremely important for machine learning and sample enhancement of big data. Aiming at the problem of semantic entanglement in generated image latent space of the StyleGAN2 network, we proposed a ...
Jianlong Zhang   +3 more
doaj   +1 more source

Matrix Jacobi biorthogonal polynomials via Riemann–Hilbert problem

open access: yesProceedings of the American Mathematical Society, 2023
We consider matrix orthogonal polynomials related to Jacobi type matrices of weights that can be defined in terms of a given matrix Pearson equation. Stating a Riemann–Hilbert problem we can derive first and second order differential-difference relations that these matrix orthogonal polynomials and the second kind functions associated to them verify ...
Branquinho, Amílcar   +3 more
openaire   +3 more sources

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