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Normal Forms for Symplectic Matrices
Preprint
09 July 2013
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Abstract
We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in \(\{-1,0,1\}\) related to signatures of quadratic forms naturally associated to the symplectic matrix.
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Most cited references6
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Yiming Long (2000)
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Canonical Forms for Hamiltonian and Symplectic Matrices and Pencils
Volker Mehrmann, Hongguo Xu, Wen-Wei Lin (1999)