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
DOI: 10.12677/PM.2020.109101, PDF,   
作者: 龙慧灵：湖南科技大学，数学与计算科学学院，湖南 湘潭
关键词: 重新参数化；特征值；高精度；Re-Parametrization； Eigenvalues； High Relative Accuracy
摘要: 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。
Abstract: 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.
文章引用：龙慧灵. quasi-h-Bernstein-Vandermonde矩阵的特征值的高精度计算[J]. 理论数学, 2020, 10(9): 866-875. https://doi.org/10.12677/PM.2020.109101

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