Matrices with prescribed invariant factors and off-diagonal submatrices
Ion Zaballa · Linear and Multilinear Algebra · 1989
We solve the problem of the existence of a matrix with prescribed invariant factors and an off-diagonal submatrix (i.e., a submatrix without entries from the main diagonal and such that the number of rows plus the number of columns is the size of the given matrix). We will use some ideas from Control theory.