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arXiv · 2507.20563

Symplectic Elimination

Ayan Mahalanobis
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Abstract

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.

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Ayan Mahalanobis. 2025-07-28. Symplectic Elimination. https://arxiv.org/abs/2507.20563

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