Dirichlet-Neumann bracketing for a class of banded Toeplitz matrices

Gebert, Martin (2022): Dirichlet-Neumann bracketing for a class of banded Toeplitz matrices. In: Proceedings of the American Mathematical Society, Bd. 150, Nr. 1: S. 105-117

Abstract

We consider boundary conditions of self-adjoint banded Toeplitz matrices. We ask if boundary conditions exist for banded self-adjoint Toeplitz matrices which satisfy operator inequalities of Dirichlet-Neumann bracketing type. For a special class of banded Toeplitz matrices including integer powers of the discrete Laplacian we find such boundary conditions. Moreover, for this class we give a lower bound on the spectral gap above the lowest eigenvalue.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Informatik
• Themengebiete: 000 Informatik, Informationswissenschaft, allgemeine Werke > 004 Informatik
• ISSN: 0002-9939
• Sprache: Englisch