Toeplitz矩阵乘积的极大eigenvalue和范数研究一个特定的案例
Maximal eigenvalue and norm of the product of Toeplitz matrices. Study of a particular case
摘要：
本文讨论了两个有限Toeplitz矩阵乘积的谱范数随矩阵维数趋于无穷大的渐近性质。这些Toeplitz矩阵由具有负阶Fisher-Hartwig奇异性的正函数生成。由于我们有正算子，已知谱范数也是这个乘积的最大特征值。
英文摘要：
In this paper we describe the asymptotic behaviour of the spectral norm of the product of two finite Toeplitz matrices as the matrix dimension goes to the infinity. These Toeplitz matrices are generated by positive functions with Fisher-Hartwig singularities of negative order. Since we have positive operators it is known that the spectral norm is also the largest eigenvalue of this product.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
