Variational methods for eigenvalue approximation

✍ Scribed by Hans F. Weinberger

• Book ID: 127456910
• Publisher: Society for Industrial Mathematics
• Year: 1987
• Tongue: English
• Weight: 1 MB
• Series: CBMS-NSF Regional Conference Series in Applied Mathematics
• Edition: 2
• Category: Library
• ISBN: 089871012X

✦ Synopsis

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.