Entries of the inverses of large positive definite Toeplitz matrices

被引：0

作者：

Boettcher, Albrecht ^{[1
]}

机构：

[1] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2022年 / 88卷 / 1-2期

关键词：

Toeplitz matrix; Random walk; Green's function; ASYMPTOTIC INVERSE; DETERMINANTS; EIGENVALUES; FORMULAS;

D O I：

10.1007/s44146-022-00007-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is an expository paper embarking on the asymptotic behavior of the entries of the inverses of positive definite symmetric Toeplitz matrices as the matrix dimension goes to infinity. We consider the behavior of the entries in neighborhoods of the four corners as well as the density of the distribution of the entries over all of the inverse matrix.

引用

页码：85 / 99

页数：15

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