R. Grone and R. Merris, Conjectures on permanents, Linear & Multilinear Algebra 21 (1987), 419-427. Research supported by ONR contract 85-K-0335. Math Reviews 89b: 15006.

The focus of this article is on research problems involving the permanent function.


  • Conjecture 5 was affirmed in R. Grone and S. Pierce, SIAM J. Matrix Anal. Appl. 9 (1988), 194-201.
  • The statement in the middle of p. 424 concerning the limiting value of the permanent of Y_n was affirmed by C. L. Frenzen and I. Fischer, SIAM J. Matrix Anal. Appl. 14 (1993), 74-81.

  • Among the publications citing this article are

  • T. Pate, Linear Algebra Appl. 255 (1997), 203-242.
  • T. Pate, Proc. London Math. Soc. 76 (1998), 307-358.
  • Gi-Sang Cheon and Ian M. Wanless, Linear Algebra Appl. (2005), 314-342.