The paper addresses the problem of identifying a positive semi-definit
e symmetric stiffness matrix for a stable elastic structure from measu
rements of its displacement in response to some set of static loads. I
f the generalized load vectors form the columns of a matrix F and the
resulting generalized displacement vectors form the columns of a matri
x X, then a suitable stiffness matrix estimate is the least-squares so
lution of the equation F = KX with respect to positive semi-definite s
ymmetric K. A methodology and a new algorithm for the solution of this
problem are presented. (C) 1998 Elsevier Science Ltd. All rights rese
rved.