Łojasiewicz inequalities with explicit exponent for smallest singular value functions

Si Tiep Dinh, Tien Son Pham

Let $F(x):=(f_{ij}(x){)}_{i=1,\dots ,p;j=1,\dots ,q},$ be a ($p\times q$)-real polynomial matrix and let $f(x)$ be the smallest singular value function of $F(x).$ In this paper, w…