On the location of the discrete spectrum for complex Jacobi matrices
نویسندگان
چکیده
We study spectrum inclusion regions for complex Jacobi matrices that are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectrum for such matrices is given.
منابع مشابه
The Discrete Spectrum for Complex Perturbations of Periodic Jacobi Matrices
We study spectrum inclusion regions for complex Jacobi matrices which are compact perturbations of real periodic Jacobi matrix. The condition sufficient for the lack of discrete spectrum for such matrices is given.
متن کاملOn the Discrete Spectrum of Complex Banded Matrices
Abstract. The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The pbanded matrix with the discrete spectrum having exactly p limit points on the interval (−2, 2) is c...
متن کاملOn Limit Sets for the Discrete Spectrum of Complex Jacobi Matrices
The discrete spectrum of complex Jacobi matrices that are compact perturbations of the discrete laplacian is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The Jacobi matrix with the discrete spectrum having the only limit point is constructed. The results can be viewed as the discret...
متن کاملJacobi Operational Matrix Approach for Solving Systems of Linear and Nonlinear Integro-Differential Equations
This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product. The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations which appear in various fields of science such as physics and engineering. The Operational matr...
متن کاملComparative study on solving fractional differential equations via shifted Jacobi collocation method
In this paper, operational matrices of Riemann-Liouville fractional integration and Caputo fractional differentiation for shifted Jacobi polynomials are considered. Using the given initial conditions, we transform the fractional differential equation (FDE) into a modified fractional differential equation with zero initial conditions. Next, all the existing functions in modified differential equ...
متن کامل