Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy

Entropy

关键词: Kolmogorov-Sinai entropy;    Parry’s theorem;    Eigenvalue estimates;   

DOI  :  10.3390/e13122036

来源: mdpi

【 摘 要 】

The scope of this paper is twofold. First, we use the Kolmogorov-Sinai Entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Second, we use this estimate to give a nontrivial lower bound for the gaps of dominant eigenvalues of .

【 授权许可】

CC BY   
© 2011 by the authors; licensee MDPI, Basel, Switzerland.