Electron. J. Linear Algebra 11, 180-191, electronic only (2004)
Summary
Summary: The determinantal conjecture of M. Marcus and G. N. de Oliveira is known in many special cases. The case of 3 * 3 matrices was settled by N. Bebiano, J. K. Merikoski and J. da Provid^encia. The case n = 4 remains open. In this article a technical conjecture is established implying a weakened form of the determinantal conjecture for n = 4.
