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Further lower bounds for the smallest singular value

✍ Scribed by Charles R. Johnson; Tomasz Szulc

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
464 KB
Volume
272
Category
Article
ISSN
0024-3795

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✦ Synopsis

In an earlier paper of the first author, Gersgorin's theorem was used in a novel way to give a simple lower bound for the smallest singular value of a general complex matrix. That lower bound was stronger than previous published bounds. Here, we use three variants of Gersgorin's theorem in a similar way to give further lower bounds.

Each of the new bounds is more complicated, but generally stronger, than the pure Gersgorin-based bound. The three new bounds are mutually noncomparable.

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