Extreme determinants on the convex hull of matrices with prescribed singular values
Robert C. Thompson · Linear and Multilinear Algebra · 1975
In a recent paper[1] the author carried through a comprehesive analysis of the diagonal elements of matrices having prescribed singular values, and as an application of this analysis a characterization was obtained of matrices with prescribed singular values. In the present note we obtain the greatest and least values for the determinants of the matrices in such convex hulls.