Universität zu Köln

Lampe, Jorg and Voss, Heinrich (2022). A SURVEY ON VARIATIONAL CHARACTERIZATIONS FOR NONLINEAR EIGENVALUE PROBLEMS. Electron. Trans. Numer. Anal., 55. S. 1 - 76. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

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Abstract

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 generalizations of these principles to families of linear, self-adjoint operators depending continuously on a scalar in a real interval.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lampe, Jorg UNSPECIFIED UNSPECIFIED UNSPECIFIED Voss, Heinrich UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-666669
DOI:	10.1553/etna_vol55s1
Journal or Publication Title:	Electron. Trans. Numer. Anal.
Volume:	55
Page Range:	S. 1 - 76
Date:	2022
Publisher:	KENT STATE UNIVERSITY
Place of Publication:	KENT
ISSN:	1068-9613
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GOVERNING ELECTRONIC STATES; JACOBI-DAVIDSON METHOD; FINITE-ELEMENT-METHOD; ILL-POSED PROBLEMS; LEAST-SQUARES; TIKHONOV REGULARIZATION; MATRIX POLYNOMIALS; VISCOELASTIC STRUCTURES; DIFFERENTIAL-EQUATIONS; SUBSTRUCTURING METHOD Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66666