Symplectic Methods for the Symplectic Eigenproblem

• Main Author: Fassbender, Heike (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2002.
• Subjects: Computer science.; Numerical analysis.; Matrix theory.; Algebra.; Algorithms.; Calculus of variations.; Computer Science.; Numeric Computing.; Linear and Multilinear Algebras, Matrix Theory.; Calculus of Variations and Optimal Control; Optimization.

The solution of eigenvalue problems is an integral part of many scientific computations. For example, the numerical solution of problems in structural dynamics, electrical networks, macro-economics, quantum chemistry, and c- trol theory often requires solving eigenvalue problems. The coefficient mat...

Table of Contents:

• Preliminaries
• The Butterfly Form for Symplectic Matrices and Matrix Pencils
• Butterfly SR and SZ Algorithms
• The Symplectic Lanczos Algorithm
• Concluding Remarks.