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Lower estimates on the condition number of a Toeplitz sinc matrix and related questions

Lower estimates on the condition number of a Toeplitz sinc matrix and related questions

As one new result, for a symmetric Toeplitz $ \operatorname{sinc} $ $n \times n$-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 …