Results 1 to 10 of about 98,636 (202)

Jacobi-Trudi Identity in Super Chern-Simons Matrix Model [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2018
It was proved by Macdonald that the Giambelli identity holds if we define the Schur functions using the Jacobi-Trudi identity. Previously for the super Chern-Simons matrix model (the spherical one-point function of the superconformal Chern-Simons theory ...
Furukawa, Tomohiro, Moriyama, Sanefumi
core   +2 more sources

Matrix-Valued Little q-Jacobi Polynomials [PDF]

open access: yesJournal of Approximation Theory, 2014
Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2x2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term recurrence relation and their
Aldenhoven, Noud   +2 more
core   +10 more sources

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

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