Given an \(n\times n\) complex matrix A with singular values \(\alpha_ 1\geq \alpha_ 2\geq...\geq \alpha_ n\) and eigenvalues \(\lambda_ 1,\lambda_ 2,...,\lambda_ n\), where \(| \lambda_ 1| \geq | \lambda_ 2| \geq...\geq | \lambda_ n|\), denote by \(C_ m(A)\) the m-th compound of A(1\(\leq m\leq n)\) and by \(r_ d(C_ m(A))\) and \(r(C_ m(A))\) the decomposable numerical radius and numerical radius of \(C_ m(A)\), respectively. The author classifies those matrices A for which at least one inequality in the well-known relation \[ \prod^{m}_{i=1}| \lambda_ i| \leq r_ d(C_ m(A))\leq r(C_ m(A))\leq \prod^{m}_{i=1}\alpha_ i \] is, in fact, an equality.