Asymptotics of the Smallest Singular Value of a Class of Toeplitz-Generated Matrices and Related Finite Rank Perturbations

作者：Rabe Hermann; Ran Andre C M^*

来源：Integral Equations and Operator Theory, 2013, 77(3): 385-396.

DOI：10.1007/s00020-013-2079-8

• Toeplitz matrices
• singular values
• finite sections

Square matrices of the form X (n) = T (n) + f (n) (T (n) (-1) )(*), where T (n) is an n x n invertible banded Toeplitz matrix and f (n) some positive sequence are considered. The norms of their inverses are described asymptotically as their size n increases. Certain finite rank perturbations of these matrices are shown to have no effect on this behaviour.

• 出版日期2013-11
• 单位西北大学