Vandermonde matrices on the circle: Spectral properties and conditioning
Vandermonde matrices on the circle: Spectral properties and conditioning
复制标题
圆上的范德蒙德矩阵：光谱特性和调节
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
S. Ruscheweyh
中科院分区：
文献类型：
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作者：
Antonio Y. Cordova;W. Gautschi;S. Ruscheweyh
研究了单位圆上节点由Vander Corput序列给出的Vandermonde矩阵。我们的主要兴趣是这些矩阵的奇异值和各自的（谱）条件数。然而，关于多重性和特征向量的详细信息也得到了。给出了多项式理论的两个应用。
SummaryWe study Vandermonde matrices whose nodes are given by a Van der Corput sequence on the unit circle. Our primary interest is in the singular values of these matrices and the respective (spectral) condition numbers. Detailed information about multiplicities and eigenvectors, however, is also obtained. Two applications are given to the theory of polynomials.