%0 Journal Article
%T quasi-h-Bernstein-Vandermonde矩阵的特征值的高精度计算
Accurate Computations for Eigenvalues of quasi-h-Bernstein-Vandermonde Matrix
%A 龙慧灵
%J Pure Mathematics
%P 866-875
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.109101
%X
在本文中,我们首先提供了quasi-h-Bernstein-Vandermonde矩阵的重新参数化,并高精度计算出所有的参数。然后得出了计算此类矩阵的所有特征值的高精度算法。最后给出数值实验来验证所提出算法的高精度性。
In this paper, we first provide a re-parametrization of the class of quasi-h-Bernstein-Vandermonde matrix and the parameters are calculated with high relative accuracy. Then, we present new algo-rithms for computing all the eigenvalues of such matrix to high relative accuracy. Finally, numerical experiment is given to confirm the high relative accuracy of our algorithms.