Elementary linear algebra for advanced spectral problems

Abstract

We discuss the general method of Grushin problems, closely related to Shur complements, Feshbach projections and effective Hamiltonians, and describe various appearances in spectral theory, pdes, mathematical physics and numerical problems.

2 figures

References in corpus (2)

• Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2
• Survey of the inverse spectral problem

Cited by in corpus (3)

• Boundary spectral behaviour for semiclassical operators in one dimension
• Relative convergence estimates for the spectral asymptotic in the Large Coupling Limit
• The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems