Variational principles for eigenvalues of nonlinear eigenproblems

Publikationstyp
Conference Paper
Date Issued
2015
Sprache
English
Author(s)
Voß, Heinrich 
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/11440
First published in
Lecture notes in computational science and engineering  
Number in series
103
Start Page
305
End Page
313
Citation
Lecture Notes in Computational Science and Engineering 103 (): 305-313 (2015)
Contribution to Conference
10th European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2013  
Publisher DOI
10.1007/978-3-319-10705-9_30
Scopus ID
2-s2.0-84919782009
Publisher
Springer
Variational principles are very powerful tools when studying self-adjoint linear operators on a Hilbert space H. Bounds for eigenvalues, comparison theorems, interlacing results and monotonicity of eigenvalues can be proved easily with these characterizations, to name just a few. In this paper we consider generalization of these principles to families of linear, self-adjoint operators depending continuously on a scalar in a real interval.
DDC Class
510: Mathematik