Some lower bounds for the spectral radius of matrices using traces
โ Scribed by Lin Wang; Mao-Zhi Xu; Ting-Zhu Huang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 164 KB
- Volume
- 432
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
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 โข B) for nonnegative matrices A and B. These bounds improve some results of Huang (2008) [R. Huang, Some ine
We develop lower bounds for the spectral radius of symmetric, skew-symmetric, and arbitrary real matrices, Our approach utilizes the well-known Leverrier-Faddeev algorithm for calculating the coefficients of the characteristic polynomial of a matrix in conjunction with a theorem by Lucas which state