Spectral Approximation of Linear Operators
Spectral Approximation of Linear Operators
This classic textbook provides a unified treatment of spectral approximation for closed or bounded operators, as well as for matrices. Despite significant changes and advances in the field since it was first published in 1983, the book continues to form the theoretical bedrock for any computational approach to spectral theory over matrices or linear operators. This coverage of classical results is not readily available elsewhere. Spectral Approximation of Linear Operators offers in-depth coverage of properties of various types of operator convergence, the spectral approximation of non-self-adjoint operators, a generalization of classical perturbation theory, and computable error bounds and iterative refinement techniques, along with many exercises (with solutions), making it a valuable textbook for graduate students and reference manual for self-study.
- A classic first published in 1983
- Can serve both as graduate textbook and reference manual
- Contains exercises and solutions to aid self-study
Product details
No date availablePaperback
9780898719994
480 pages
228 × 152 × 26 mm
0.62kg
Table of Contents
- Preface to the Classics Edition
- Foreword
- Preface
- Notation
- List of errata
- 1. The matrix eigenvalue problem
- 2. Elements of functional analysis: basic concepts
- 3. Elements of functional analysis: convergence and perturbation theory
- 4. Numerical approximation methods for integral and differential operators
- 5. Spectral approximation of a closed linear operator
- 6. Error bounds and localization results for the eigenelements
- 7. Some examples of applications
- Appendix: discrete approximation theory
- References
- Solutions to exercises
- Notation index
- Subject index.
