On relative oscillation theory for symplectic eigenvalue problems

✍ Scribed by Julia Elyseeva

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 337 KB
• Volume: 23
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2010.06.004

✦ Synopsis

We develop an analog of classical oscillation theory for discrete symplectic eigenvalue problems with Dirichlet boundary conditions which, rather than measuring the spectrum of one single problem, measures the difference between the spectra of two different problems. This is done by replacing focal points of conjoined bases of one problem by matrix analogs of weighted zeros of Wronskians of conjoined bases of two different problems.