Products of positive definite symplectic matrices

Products of positive definite symplectic matrices

We show that every symplectic matrix is a product of five positive definite symplectic matrices and five is the best in the sense that there are symplectic matrices which are not product of less.

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Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications 2021-10, Vol.626, p.188-203
Hauptverfasser: Granario, Daryl Q., Tam, Tin-Yau
Format: Artikel
Sprache:eng
Schlagworte:
Canonical form
Linear algebra
Mathematical analysis
Matrices (mathematics)
Matrix decomposition
Symplectic matrix
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Zusammenfassung:We show that every symplectic matrix is a product of five positive definite symplectic matrices and five is the best in the sense that there are symplectic matrices which are not product of less.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2021.05.016