This letter presents a novel, on-line, local learning algorithm to obt
ain generalized eigenvalues and their corresponding eigenvectors in de
scending order with a Linear adaptive fitter. The filter is composed o
f a set of forward linear projections constrained by lateral inhibitio
ns. Equilibrium points of the adaptation process and their stability a
re briefly analyzed. Simulations and experimental comparisons are give
n to verify the validity and effectiveness of the proposed algorithm.