Abstract
As one new result, for a symmetric Toeplitz sinc n × n-matrix A(t) depending on a parameter t, lower estimates (tending to infinity as t vanishes) on the pertinent condition number are derived. A further important finding is that prior to improving the obtained lower estimates it seems to be more important to determine the lower bound on the parameter t such that the smallest eigenvalue µn(t) of A(t) can be reliably computed since this is a precondition for determining a reliable value for the condition number of the Toeplitz sinc matrix. The style of the paper is expository in order to address a large readership.
Original language | English |
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Pages (from-to) | 168-182 |
Number of pages | 15 |
Journal | Constructive Mathematical Analysis |
Volume | 5 |
Issue number | 3 |
DOIs | |
State | Published - 2022 |
Keywords
- Condition number
- eigenvalues and eigenvectors
- inverse power method
- power method
- Toeplitz sinc matrix