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Bibliographic Details
Main Author:	Mahalanobis, Ayan
Format:	Preprint
Published:	2025
Subjects:	Group Theory Systems and Control Symplectic Geometry Spectral Theory 15B99, 15A21
Online Access:	https://arxiv.org/abs/2507.20563
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Table of Contents:

We develop the symplectic elimnation algorithm. This algorithm using simple row operations reduce a symplectic matrix to a diagonal matrix. This algorithm gives rise to a decomposition of an arbitrary matrix into a product of a symplectic matrix and a reduced matrix. This decomposition is similar to the SR decomposition studied for a long time, which is analogous to the QR decomposition.