A hierarchical method for obtaining eigenvalue enclosures

We introduce a new method of obtaining guaranteed enclosures of the eigenvalues of a variety of self-adjoint differential and difference operators with discrete spectrum. The method is based upon subdividing the region into a number of simpler regions for which eigenvalue enclosures are already available.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: E. B. Davies
• Keywords: Difference Operators, Discrete Spectrum, Eigenvalue, MOC 2000