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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.05890 |
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Table of Contents:
- We derive Glynn's formula from Ryser's formula for the permanent. We further establish via an orbital argument that Glynn's formula yields an optimal row-homogeneous Chow-decomposition of the permanent. We introduce a method for upper-bounding the Chow-rank of polynomials. Our method is based upon the Fundamental Theorem of Symmetric Polynomials. Finally we derive a parametric description of rank revealing row-homogeneous Chow-decompositions of the permanent. Our result provides an alternative approach to the parametrization first obtained by Glynn.