{"paper":{"title":"Computational performance of a projection and rescaling algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Javier Pena, Negar Soheili","submitted_at":"2018-03-19T18:31:27Z","abstract_excerpt":"This paper documents a computational implementation of a {\\em projection and rescaling algorithm} for finding most interior solutions to the pair of feasibility problems \\[ \\text{find} \\; x\\in L\\cap\\mathbb{R}^n_{+} \\;\\;\\;\\; \\text{ and } \\; \\;\\;\\;\\; \\text{find} \\; \\hat x\\in L^\\perp\\cap\\mathbb{R}^n_{+}, \\] where $L$ denotes a linear subspace in $\\mathbb{R}^n$ and $L^\\perp$ denotes its orthogonal complement. The projection and rescaling algorithm is a recently developed method that combines a {\\em basic procedure} involving only low-cost operations with a periodic {\\em rescaling step.} We give a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07107","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}