Spectral Computations for Bounded Operators
Editorial Reviews
Review
This book gives a careful account of the theory underlying methods for numerical computation of approximations of eigenvalues, eigenvectors and generalized eigenvectors of bounded linear operators in infinite-dimensional space. The authors have been substantial contributors to the field, and the book gives some emphasis to topics on which they have worked. . . As well as being a valuable reference for mathematicians working on the development of analysis of numerical methods, the book is also suitable as a graduate text for students who have done a first course on functional analysis.
-Alan L. Andrews
Book Description
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. This book addresses this issue of solving eigenvalue problems for operators on infinite dimensional spaces. From a review of classical spectral theory, through approximation techniques, to ideas for further research that would extend the results described, this volume serves as both a text for graduate students and as a source of state-of-the-art results for research scientists.
Spectral Computations for Bounded Operators
Spectral Computations for Bounded Operators,Mario Ahues,Alain Largillier,Balmohan Limaye,Chapman & Hall/CRC,1584881968,Applied,Functional Analysis,General,Mathematical Analysis,Mathematics,Operator theory,Science/Mathematics,Spectral theory (Mathematics),Theory Of Operators,Algorithms & procedures,Mathematics / Applied,Mathematics for scientists & engineers
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