Results 21 to 30 of about 98,636 (202)
On one condition of absolutely continuous spectrum for self-adjoint operators and its applications [PDF]
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
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Classification of two and three dimensional Lie super-bialgebras [PDF]
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
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Hamilton–Jacobi equations for nonsymmetric matrix inference
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.
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Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel [PDF]
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
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Jacobi--Davidson Method on Low-Rank Matrix Manifolds [PDF]
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.
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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
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Spectral Bounds for Polydiagonal Jacobi Matrix Operators [PDF]
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 ...
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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
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Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices [PDF]
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
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A Formula for Eigenvalues of Jacobi Matrices with a Reflection Symmetry
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
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