3 papers
math.CO2020
Cubes and adjoints of cross-polytopes
J. Lawrence, I. P. Silva
We describe a bijection between oriented cubes and adjoints of cross-polytopes. This correspondence is used to prove that the real affine cube is, up to reorientation in the same c…
math.OC2019
Characterization and Computation of Matrices of Maximal Trace over Rotations
Javier Bernal, Jim Lawrence
The constrained orthogonal Procrustes problem is the least-squares problem that calls for a rotation matrix that optimally aligns two corresponding sets of points in d-dimensional…
math.OC2019
A Purely Algebraic Justification of the Kabsch-Umeyama Algorithm
Jim Lawrence, Javier Bernal, Christoph Witzgall
The constrained orthogonal Procrustes problem is the least-squares problem that calls for a rotation matrix that optimally aligns two matrices of the same order. Over past decades,…