{ "id": "2108.01221", "version": "v1", "published": "2021-08-03T00:43:12.000Z", "updated": "2021-08-03T00:43:12.000Z", "title": "Two new lower bounds for the smallest singular value", "authors": [ "Xu Shun" ], "categories": [ "math.NA", "cs.NA" ], "abstract": "In this paper, we obtain two new lower bounds for the smallest singular value of nonsingular matrices which is better than the bound presented by zou \\cite{zou2012lower}, Lin, Minghua and Xie, Mengyan \\cite{lin2021some} under certain circumstances.", "revisions": [ { "version": "v1", "updated": "2021-08-03T00:43:12.000Z" } ], "analyses": { "keywords": [ "smallest singular value", "lower bounds", "nonsingular matrices", "circumstances" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }