On some lower bounds for smallest singular value of matrices

On some lower bounds for smallest singular value of matrices

In this note, we use a simple idea to considerably improve a lower bound for smallest singular value of matrices. Numerical examples show that our bound could be very close to the exact smallest singular value. We also compare it with existing bounds and discuss our approach in possibly improving th...

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Veröffentlicht in:Applied mathematics letters 2021-11, Vol.121, p.107411, Article 107411
Hauptverfasser: Lin, Minghua, Xie, Mengyan
Format: Artikel
Sprache:eng
Schlagworte:
Determinant
Lower bound
Norm
Singular value
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Beschreibung
Zusammenfassung:In this note, we use a simple idea to considerably improve a lower bound for smallest singular value of matrices. Numerical examples show that our bound could be very close to the exact smallest singular value. We also compare it with existing bounds and discuss our approach in possibly improving the existing bounds.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107411