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Bounds for the spectral radius and the largest singular value

✍ Scribed by O. Rojo; R. Soto; H. Rojo

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 396 KB
Volume: 36
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(98)00107-2

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✦ Synopsis

We derive an increasing sequence of lower bounds for the spectral radius of a matrix with real spectrum and progressively improved bounds for the largest singular value of a complex matrix. We also find estimates for the rank of normal matrices with real spectrum and for the rank of normal nonnegative matrices, including some sufficient condition for such matrices to be invertible.

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