Abstract
In a recent paper, Hauenstein, Sturmfels, and the second author discovered a conjectural bijection between critical points of the likelihood function on the complex variety of matrices of rank r and critical points on the complex variety of matrices of co-rank r-1. In this paper, we prove that conjecture for rectangular matrices and for symmetric matrices, as well as a variant for skew-symmetric matrices.
Original language | English |
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Pages (from-to) | 5648-5666 |
Journal | International Mathematics Research Notices |
Volume | 2014 |
Issue number | 20 |
DOIs | |
Publication status | Published - 2014 |