We presented a new lower bound on minimal singular values of real matrices based on Frobenius norm and determinant and showed in [4] that under certain assumptions on the matrix is our estimate sharper than a recent lower bound from Hong and Pan [3]. In this paper we show, under which conditions is our lower bound sharper than two other recent lower bounds for minimal singular values based on a matrix norm and determinant, namely the bound from Piazza and Politi and the bound from Hou-Biao Li et al.

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