Results 21 to 30 of about 98,636 (202)

On one condition of absolutely continuous spectrum for self-adjoint operators and its applications [PDF]

open access: yesOpuscula Mathematica, 2018
In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of a self-adjoint operator \(A\) by a sequence of operators \(A_n\) with absolutely ...
Eduard Ianovich
doaj   +1 more source

Classification of two and three dimensional Lie super-bialgebras [PDF]

open access: yes, 2010
Using adjoint representation of Lie superalgebras, we obtain the matrix form of super-Jacobi and mixed super-Jacobi identities of Lie superbialgebras.
A. Eghbali   +3 more
core   +1 more source

Hamilton–Jacobi equations for nonsymmetric matrix inference

open access: yesThe Annals of Applied Probability, 2022
We study the high-dimensional limit of the free energy associated with the inference problem of a rank-one nonsymmetric matrix. The matrix is expressed as the outer product of two vectors, not necessarily independent. The distributions of the two vectors are only assumed to have scaled bounded supports.
openaire   +3 more sources

Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel [PDF]

open access: yes, 2005
For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined.
Obermaier, Josef, Szwarc, Ryszard
core   +2 more sources

Jacobi--Davidson Method on Low-Rank Matrix Manifolds [PDF]

open access: yesSIAM Journal on Scientific Computing, 2018
In this work we generalize the Jacobi-Davidson method to the case when eigenvector can be reshaped into a low-rank matrix. In this setting the proposed method inherits advantages of the original Jacobi-Davidson method, has lower complexity and requires less storage.
Rakhuba, M. V., Oseledets, I. V.
openaire   +2 more sources

Application of the theory of bifurcations to the analysis of the stability of impulse voltage stabilizers of a rising type

open access: yesФизика волновых процессов и радиотехнические системы, 2019
This article discusses the application of the theory of bifurcation to pulsed voltage up-stabilizers, studied its behavior, and analyzed the stability conditions for varying various parameters of the system.
A.A. Voronoi, R.M. Zakirov, D.V. Mishin
doaj   +1 more source

Spectral Bounds for Polydiagonal Jacobi Matrix Operators [PDF]

open access: yesInternational Journal of Partial Differential Equations, 2014
The research on spectral inequalities for discrete Schrödinger operators has proved fruitful in the last decade. Indeed, several authors analysed the operator’s canonical relation to a tridiagonal Jacobi matrix operator. In this paper, we consider a generalisation of this relation with regard to connecting higher order Schrödinger-type operators with ...
openaire   +3 more sources

Closed-Form Expressions of Ergodic Capacity and MMSE Achievable Sum Rate for MIMO Jacobi and Rayleigh Fading Channels

open access: yesIEEE Access, 2020
Multimode/multicore fibers are expected to provide an attractive solution to overcome the capacity limit of the current optical communication system. In the presence of strong crosstalk between modes and/or cores, the squared singular values of the input/
Amor Nafkha, Nizar Demni
doaj   +1 more source

Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices [PDF]

open access: yesOpuscula 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
doaj   +1 more source

A Formula for Eigenvalues of Jacobi Matrices with a Reflection Symmetry

open access: yesAdvances in Mathematical Physics, 2018
The spectral properties of two special classes of Jacobi operators are studied. For the first class represented by the 2M-dimensional real Jacobi matrices whose entries are symmetric with respect to the secondary diagonal, a new polynomial identity ...
S. B. Rutkevich
doaj   +1 more source

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