Spectral Computations for Bounded Operators
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A01=Alain Largillier
A01=Balmohan Limaye
A01=Mario Ahues
Author_Alain Largillier
Author_Balmohan Limaye
Author_Mario Ahues
Category=PBKF
Category=UMB
Category=UYAM
derivative
eigenvalue
eigenvalues
elementary
eq_bestseller
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
frechet
functional analysis
graduate level mathematics
infinite dimensional spaces
iteration
iterative refinement
matrix
multiple
operator theory
problem
QR algorithm
simple
spectral approximation methods for operators
Product details
- ISBN 9781584881964
- Dimensions: 156 x 234mm
- Publication Date: 26 Feb 2001
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Exact eigenvalues, eigenvectors, and principal vectors of operators with infinite dimensional ranges can rarely be found. Therefore, one must approximate such operators by finite rank operators, then solve the original eigenvalue problem approximately. Serving as both an outstanding text for graduate students and as a source of current results for research scientists, Spectral Computations for Bounded Operators addresses the issue of solving eigenvalue problems for operators on infinite dimensional spaces.
From a review of classical spectral theory through concrete approximation techniques to finite dimensional situations that can be implemented on a computer, this volume illustrates the marriage of pure and applied mathematics. It contains a variety of recent developments, including a new type of approximation that encompasses a variety of approximation methods but is simple to verify in practice. It also suggests a new stopping criterion for the QR Method and outlines advances in both the iterative refinement and acceleration techniques for improving the accuracy of approximations. The authors illustrate all definitions and results with elementary examples and include numerous exercises.
Spectral Computations for Bounded Operators thus serves as both an outstanding text for second-year graduate students and as a source of current results for research scientists.
Ahues, Mario; Largillier, Alain; Limaye, Balmohan
