Variational methods for eigenvalue approximation / Hans F. Weinberger.

Format:

Book

Author/Creator:

Weinberger, Hans F.

Contributor:

Society for Industrial and Applied Mathematics.

Series:

CBMS-NSF regional conference series in applied mathematics ; 15.

Regional conference series in applied mathematics ; 15

Language:

English

Subjects (All):

Differential operators.

Eigenvalues.

Maxima and minima.

Approximation theory.

Physical Description:

1 electronic text (v, 156 p.) : ill., digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1974.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

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 operators.

Contents:

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.

Notes:

"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."

Includes bibliographical references (p. 151-156).

Title from title screen, viewed 04/05/2011.

ISBN:

1-61197-053-9

Publisher Number:

CB15 SIAM