Symplectic methods for the symplectic eigenproblem (Q2707390)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic methods for the symplectic eigenproblem |
scientific article |
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3 April 2001
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symplectic eigenvalue problem
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textbook
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nonsymmetric eigenvalue problems
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linear control theory
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discrete time systems
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finite element
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structural analysis
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acoustic simulation
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poro-elastic material
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elastic deformation
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algorithms
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numerical examples
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Symplectic methods for the symplectic eigenproblem (English)
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The book deals with methods for solving special nonsymmetric eigenvalue problems; the symplectic eigenvalue problem. The symplectic eigenvalue problem is helpful in analyzing a number of different questions that arise in linear control theory for discrete time systems. Applications arise, e.g., in finite element discretizations in structural analysis, in acoustic simulation of poro-elastic materials, or in elastic deformation of anisotropic materials. Here efficient and structure-preserving numerical methods for the symplectic eigenproblem are developed. All algorithms are presented in MATLAB style. Numerical examples are given to demonstrate their abilities.
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