Da. Griffith, Eigenfunction properties and approximations of selected incidence matricesemployed in spatial analyses, LIN ALG APP, 321(1-3), 2000, pp. 95-112
Mathematical properties of eigenfunctions of selected incidence matrices ap
pearing in spatial statistics formulae are summarized. Seven theorems are p
roposed and proved, and three conjectures are posited. Results summarized h
ere allow the determinant of massively large n x n geographic weights matri
ces to be accurately approximated. In addition, the behavior of eigenfuncti
ons for graphs affiliated with a linear configuration of connected nodes ar
e better understood. (C) 2000 Elsevier Science Inc, All rights reserved.