Parallel Redundancy Removal in lrslib with Application to Projections
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914818969042944 |
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| author | Avis, David Jordan, Charles |
| author_facet | Avis, David Jordan, Charles |
| contents | We describe a parallel implementation in lrslib for removing redundant halfspaces and finding a minimum representation for an H-representation of a convex polyhedron. By a standard transformation, the same code works for V-representations. We use this approach to speed up the redundancy removal step in Fourier-Motzkin elimination. Computational results are given including a comparison with Clarkson's algorithm, which is particularly fast on highly redundant inputs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00065 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parallel Redundancy Removal in lrslib with Application to Projections Avis, David Jordan, Charles Optimization and Control Computational Geometry Mathematical Software We describe a parallel implementation in lrslib for removing redundant halfspaces and finding a minimum representation for an H-representation of a convex polyhedron. By a standard transformation, the same code works for V-representations. We use this approach to speed up the redundancy removal step in Fourier-Motzkin elimination. Computational results are given including a comparison with Clarkson's algorithm, which is particularly fast on highly redundant inputs. |
| title | Parallel Redundancy Removal in lrslib with Application to Projections |
| topic | Optimization and Control Computational Geometry Mathematical Software |
| url | https://arxiv.org/abs/2406.00065 |