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Pure Mathematics 2020
quasi-h-Bernstein-Vandermonde矩阵的特征值的高精度计算
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Abstract:
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.
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