Abstract
This paper is devoted to asymptotic estimates for the (spectral or Euclidean) condition numbers κ( T n ( a)) = ∥ T n ( a)∥ ∥ T −1 n ( a)∥ of large n × n Toeplitz matrices T n ( a) in the case where the symbol a is an L ∞ function and Re a ≥ 0 almost everywhere. We describe several classes of symbols a for which κ( T n ( a)) increases like (log n) x , n x , or even e xn .
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