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Spectral Computations for Bounded Operators (Applied Mathematics Book 18) by Mario Ahués; Alain Largillier; Balmohan Vishnu Limaye is a nonfiction available to read on EtoBox.

What is Spectral Computations for Bounded Operators (Applied Mathematics Book 18) about?

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 ex

Who reads Spectral Computations for Bounded Operators (Applied Mathematics Book 18)?

Author

Mario Ahués; Alain Largillier; Balmohan Vishnu Limaye

Publisher

Chapman and Hall/CRC

Published

2001

Language

EN

ISBN

9780367455354

Category

nonfiction

Subjects

Mathematics, Science, Physics