Discrete spectra for some complex infinite band matrices

Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Spectral sets of linear operators (47A25) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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Mathieu functions for purely imaginary parameters
Eigenvalues for infinite matrices
\(C^*\)-algebras and numerical linear algebra
Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation
An alternative proof of a theorem of Stieltjes and related results
The eigenvalue problem for infinite complex symmetric tridiagonal matrices with application
Self-adjointness of unbounded tridiagonal operators and spectra of their finite truncations
Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices
Approximation and asymptotics of eigenvalues of unbounded self-adjoint Jacobi matrices acting in \(l^{2}\) by the use of finite submatrices
Projection-iterative methods for a class of difference equations
Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices
Limit points of eigenvalues of truncated unbounded tridiagonal operators
Approximation of eigenvalues of some differential equations by zeros of orthogonal polynomials
Simple and double eigenvalues of the Hill operator with a two-term potential
ASYMPTOTICS OF LARGE EIGENVALUES FOR A CLASS OF BAND MATRICES
THE FINITE SECTION METHOD FOR DISSIPATIVE OPERATORS
Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices
Asymptotics of eigenvalues of infinite block matrices
Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix
Complex Jacobi matrices
Limit points of eigenvalues of truncated tridiagonal operators

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