On pairs of complementary GJ pivoting transforming skew-symmetric matrices
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909616552542208 |
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| author | Awoniyi, Samuel |
| author_facet | Awoniyi, Samuel |
| contents | This article describes certain ratios that attend pairs of complementary Gauss-Jordan pivotings transforming skew-symmetric matrices. Our interest in those ratios was motivated by a need to prove a crucial Claim stated in a recently proposed strongly polynomial-time algorithm for the general LP problem. That Claim is proved in this article and, as a consequence of this proof, a compact implementation of the strongly polynomial-time algorithm is suggested. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On pairs of complementary GJ pivoting transforming skew-symmetric matrices Awoniyi, Samuel Optimization and Control Math OC This article describes certain ratios that attend pairs of complementary Gauss-Jordan pivotings transforming skew-symmetric matrices. Our interest in those ratios was motivated by a need to prove a crucial Claim stated in a recently proposed strongly polynomial-time algorithm for the general LP problem. That Claim is proved in this article and, as a consequence of this proof, a compact implementation of the strongly polynomial-time algorithm is suggested. |
| title | On pairs of complementary GJ pivoting transforming skew-symmetric matrices |
| topic | Optimization and Control Math OC |
| url | https://arxiv.org/abs/2410.19350 |