Two new lower bounds for the smallest singular value
Xu Shun
TL;DR
This paper introduces two improved lower bounds for the smallest singular value of nonsingular matrices, surpassing previous bounds under specific conditions, advancing the understanding of matrix spectral properties.
Contribution
The paper presents two novel lower bounds for the smallest singular value that improve upon existing bounds in certain cases.
Findings
New bounds are tighter than previous ones in specific scenarios.
The bounds are applicable to nonsingular matrices.
The results enhance spectral analysis techniques.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsgraph theory and CDMA systems · Matrix Theory and Algorithms · Finite Group Theory Research