演講公告

演講主題：On the Eigenvalue Estimates and the Kolmogorov-Sinai Entropy
主講人：謝世峰教授(台灣師範大學數學系)
演講日期：97年3月25日(星期二)<br>下午2:30-3:20
演講地點：(光復校區)科學一館223室
茶會時間：當天下午2:00於科學一館205室
摘要內容：
This talk is threefold. Firstly, we generalize Parry's theorem to general $N\times N$ nonnegative matrices and use this generation to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Secondly, we use the generalized Parry's Theorem to give a nontrivial lower bound for dominant eigenvalues of $\bA$ and $\bA+\bV$. Thirdly, we use the previous results to give an explicit lower bound for the gap between the first two eigenvalues of a symmetric tridiagonal matrix.

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