Inclusion sets for the singular values of a rectangular matrix

The paper generalizes certain inclusion sets for the singular values of a square matrix to the case of an $m\times n$ matrix. In particular, it is shown that under a nonrestrictive assumption on the ordering of the matrix columns (if $m<n$) or the matrix rows (if $m>n$), a natural counterpart of the Gerschgorin theorem on the eigenvalue location is valid. Bibl. – 14 titles.