On the Determinant of Symplectic Matrices ∗

@inproceedings{Mackey2003OnTD,
  title={On the Determinant of Symplectic Matrices ∗},
  author={D. Steven Mackey and Niloufer Mackey},
  year={2003}
}
A collection of new and old proofs showing that the determinant of any symplectic matrix is +1 is presented. Structured factorizations of symplectic matrices play a key role in several arguments. A constructive derivation of the symplectic analogue of the Cartan-Dieudonné theorem is one of the new proofs in this essay. 

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References

Publications referenced by this paper.
Showing 1-9 of 9 references

Geometric Algebra. Interscience Tracts in Pure and Applied Mathematics

  • E. Artin
  • 1957
Highly Influential
10 Excerpts

Structured factorizations for structured matrices. Numerical analysis report, Manchester Centre for Computational Mathematics, Manchester

  • D. Steven Mackey, Niloufer Mackey, Françoise Tisseur
  • In preparation
  • 2003
1 Excerpt

Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, volume 90 of Applied Mathematical Sciences

  • K. L. Meyer, G. R. Hall
  • 1991
1 Excerpt

Matrix factorizations for symplectic QR-like methods

  • Angelika Bunse-Gerstner
  • Linear Algebra Appl.,
  • 1986
1 Excerpt

Hamiltonian and symplectic algorithms for the algebraic Riccati equation

  • Ralph Byers
  • PhD thesis,
  • 1983
1 Excerpt

Basic Algebra I

  • Nathan Jacobson
  • San Francisco,
  • 1974
2 Excerpts

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