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Variational methods for eigenvalue approximation : "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." / Hans F. Weinberger
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Regional conference series in applied mathematics ; 15Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 1974Description: Online-Ressource (1 electronic text v, 156 p.)ISBN:- 089871012X
- 9780898710120
- 9781611970531
- 515.35 19
- QA329.4
Contents:
Summary: Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operatorsPPN: PPN: 1651240337Package identifier: Produktsigel: ZDB-72-SIA
Includes bibliographical references (p. 151-156)
Why study Eigenvalues -- The setting: linear vector spaces and their properties -- The existence and characterization of Eigenvalues -- Improvable bounds for Eigenvalues -- Eigenvector approximation -- Finite difference equations -- Some other bounds.
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