On Eigenvalue Distribution of Varying Hankel and Toeplitz Matrices with Entries of Power Growth or Decay

On Eigenvalue Distribution of Varying Hankel and Toeplitz Matrices with Entries of Power Growth or Decay
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DOI:
10.1007/978-3-030-57464-2_8
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发表时间:
2021
期刊:
--
影响因子:
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通讯作者:
Gidon Kowalsky;D. Lubinsky
Gidon Kowalsky;D. Lubinsky
中科院分区:
其他
文献类型:
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作者:
Gidon Kowalsky;D. Lubinsky

文献摘要

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本文研究了变Toeplitz矩阵和Hankel矩阵的特征值的分布,其中对非0的复数β,n →∞,n的特征值近似为β.这补充了以前的工作,这些矩阵时,系数来自整个功能。
We study the distribution of eigenvalues of varying Toeplitz and Hankel matrices such asandwhereanbehaves roughly likenβfor some non- 0 complex numberβ, andn→∞. This complements earlier work on these matrices when the coefficientsarise from entire functions.