Distance Matrices and Ridge Function Interpolation
A geometric characterization is given for a collection of points in ℝd to produce a singular l1 -distance matrix. Some quantitative results are established in terms of "characteristic matrices". The results in this paper generalize those of Dyn, Light and Cheney and have application to ridge function interpolation.
Reid, Les, and Xingping Sun. "Distance matrices and ridge function interpolation." Canadian journal of mathematics 45, no. 6 (1993): 1313-1323.
Canadian journal of mathematics