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Some new bounds on the spectral radius of matrices

โœ Scribed by Qingbing Liu; Guoliang Chen; Linlin Zhao

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
180 KB
Volume
432
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

A new lower bound on the smallest eigenvalue ฯ„ (A B) for the Fan product of two nonsingular M-matrices A and B is given. Meanwhile, we also obtain a new upper bound on the spectral radius ฯ(A โ€ข B) for nonnegative matrices A and B. These bounds improve some results of Huang (2008) [R. Huang, Some inequalities for the Hadamard product and the Fan product of matrices, Linear Algebra Appl. 428 (2008) 1551-1559].

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