Łojasiewicz-type inequalities with explicit exponents for the largest eigenvalue function of real symmetric polynomial matrices

Si Tiep Dinh, Tien Son Pham

Let $F(x):=(f_{ij}(x){)}_{i,j=1,\dots ,p},$ be a real symmetric polynomial matrix of order $p$ and let $f(x)$ be the largest eigenvalue function of the matrix $F(x).$ We denote by…