论文标题
关于误差的注意事项，用于跟踪toeplitz矩阵产物的近似值
Note on Error Bound for Trace Approximation of Products of Toeplitz Matrices
论文作者
论文摘要
我们研究了由$ [-π，π] $上的toeplitz矩阵产物的痕迹进行积分极限近似值的错误顺序。即使上述近似的急剧误差顺序是在\ cite {lieberman-phillips-2004}的定理〜2中得出的，但其证明包含\ cite {ginovyan-sahakyan-2013}指出的不准确性。在本文中，我们重新评估了\ cite {lieberman-Phillips-2004}定理〜2中给出的主张，并给出了其主张的其他证据。
We investigate error orders for integral limit approximations to traces of products of Toeplitz matrices generated by integrable functions on $[-π,π]$ having some singularities at the origin. Even though a sharp error order of the above approximation is derived in Theorem~2 of \cite{Lieberman-Phillips-2004}, its proof contains an inaccuracy as pointed out by \cite{Ginovyan-Sahakyan-2013}. In the present paper, we reinvestigate the claim given in Theorem~2 of \cite{Lieberman-Phillips-2004} and give an alternative proof of their claim.
