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Spectral Computations for Bounded Operators
Af: Balmohan Limaye, Alain Largillier, Mario Ahues Engelsk Paperback
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kr 92
Spectral Computations for Bounded Operators
Af: Balmohan Limaye, Alain Largillier, Mario Ahues Engelsk Paperback
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 400
ISBN-13: 9780367455354
Indbinding: Paperback
Udgave:
ISBN-10: 0367455358
Udg. Dato: 2 dec 2019
Længde: 0mm
Bredde: 234mm
Højde: 156mm
Oplagsdato: 2 dec 2019
Forfatter(e) Balmohan Limaye, Alain Largillier, Mario Ahues


Kategori Funktionsanalyse og transformation


Sprog Engelsk


Indbinding Paperback


Sider 400


Udgave


Længde 0mm


Bredde 234mm


Højde 156mm

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