Symplectic Methods for the Symplectic Eigenproblem

Hardcover | November 30, 2000

byHeike Fassbender

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The symplectic eigenvalue problem is helpful, e.g., in analyzing a number of different questions that arise in linear control theory for discrete-time systems. Industrial production and technological processes may suffer from unwanted behavior, e.g., losses in the start-up and change-over phases of operation, pollution, emission of harmful elements, and production of unwanted by-products. Control techniques offer the possibility of analyzing such processes in order to detect the underlying causes of the unwanted behavior. This monograph describes up-to-date techniques for solving small to medium-sized as well as large and sparse symplectic eigenvalue problems. The text presents all developed algorithms in Matlab-programming style and numerical examples to demonstrate their abilities, all of which makes the text accessible to graduate students in applied mathematics and control engineering, as well as to researchers in these areas.

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The symplectic eigenvalue problem is helpful, e.g., in analyzing a number of different questions that arise in linear control theory for discrete-time systems. Industrial production and technological processes may suffer from unwanted behavior, e.g., losses in the start-up and change-over phases of operation, pollution, emission o...

Format:HardcoverDimensions:284 pages, 9.25 × 6.1 × 0.04 inPublished:November 30, 2000Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0306464780

ISBN - 13:9780306464782

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Table of Contents

List of Figures. List of Tables. Acknowledgments. 1. Introduction. 2. Preliminaries. 3. The Butterfly Form for Symplectic Matrices and Matrix Pencils. 4. Butterfly SR and SZ Algorithms. 5. The Symplectic Lanczos Algorithm. 6. Concluding Remarks.