Results 11 to 20 of about 484,399 (236)

A spectral equivalence for Jacobi matrices [PDF]

Journal of Approximation Theory, 2007
We use the classical results of Baxter and Gollinski-Ibragimov to prove a new spectral equivalence for Jacobi matrices on $l^2(\N)$. In particular, we consider the class of Jacobi matrices with conditionally summable parameter sequences and find necessary and sufficient conditions on the spectral measure such that $\sum_{k=n}^\infty b_k$ and $\sum_{k=n}
Ryckman, E.
exaly   +6 more sources

Spectral representations for a class of banded Jacobi-type matrices [PDF]

Opuscula Mathematica, 2014
We describe some spectral representations for a class of non-self-adjoint banded Jacobi-type matrices. Our results extend those obtained by P.B. Naïman for (two-sided infinite) periodic tridiagonal Jacobi matrices.
Ewelina Zalot, Witold Majdak
doaj   +4 more sources

On the completely indeterminate case for block Jacobi matrices

Concrete Operators, 2017
We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
doaj   +2 more sources

The spectrum of Jacobi matrices

Inventiones Mathematicae, 1976
Let L be a periodic symmetric tridiagonal matrix of size N; "periodic" means that L has one extra-entry in the upper right corner and by symmetry in the lower left one. Let b i be the diagonal and ai the subdiagonal entries. The present paper deals with the space ~ ' of such matrices with a given spectrum.
Pierre van Moerbeke
exaly   +3 more sources

Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm. [PDF]

PLoS ONE
This paper focuses on modeling Resistor-Inductor (RL) electric circuits using a fractional Riccati initial value problem (IVP) framework. Conventional models frequently neglect the complex dynamics and memory effects intrinsic to actual RL circuits. This
Mahmoud Abd El-Hady, Mohamed El-Gamel, Homan Emadifar, Atallah El-Shenawy   +3 more
doaj   +2 more sources

On Fourier Series in the Context of Jacobi Matrices

Axioms
We investigate the properties of matrices that emerge from the application of Fourier series to Jacobi matrices. Specifically, we focus on functions defined by the coefficients of a Fourier series expressed in orthogonal polynomials.
José M. A. Matos, Paulo B. Vasconcelos, José A. O. Matos   +2 more
doaj   +3 more sources

A useful formula for periodic Jacobi matrices on trees [PDF]

Proceedings of the National Academy of Sciences of the United States of America
Jonathan Breuer, Barry Simon, Jorge Garza-Vargas   +2 more
exaly   +2 more sources

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]

, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
core   +4 more sources

Deficiency Indices of Block Jacobi Matrices: Survey

Современная математика: Фундаментальные направления, 2021
The paper is a survey and concerns with infinite symmetric block Jacobi matrices J with m×m-matrix entries. We discuss several results on general block Jacobi matrices to be either self-adjoint or have maximal as well as intermediate deficiency indices ...
Viktoriya S. Budyka, Mark M. Malamud, Karahan A. Mirzoev   +2 more
doaj   +1 more source

CAPACITIES AND JACOBI MATRICES [PDF]

Proceedings of the Edinburgh Mathematical Society, 2003
AbstractIn this paper, we use the theorem of Burchnall and Shaundy to give the capacity of the spectrum $\sigma(A)$ of a periodic tridiagonal and symmetric matrix. A special family of Chebyshev polynomials of $\sigma(A)$ is also given. In addition, the inverse problem is considered: given a finite union $E$ of closed intervals, we study the conditions ...
Sebbar, Ahmed, Falliero, Thérèse
openaire   +2 more sources