论文标题
对操作员分数的快速准确近似
Fast and accurate approximations to fractional powers of operators
论文作者
论文摘要
在本文中，我们考虑了由高斯 - 拉古雷尔（Gauss-Laguerre）规则引起的自我接合正运算符的分数能力的一些合理近似。我们得出可用于选择达到给定准确性所需的Laguerre点数的实用误差估计。我们还提出了一些数值实验，以显示我们方法的有效性和估计值的可靠性。
In this paper we consider some rational approximations to the fractional powers of self-adjoint positive operators, arising from the Gauss-Laguerre rules. We derive practical error estimates that can be used to select a priori the number of Laguerre points necessary to achieve a given accuracy. We also present some numerical experiments to show the effectiveness of our approaches and the reliability of the estimates.
