The problem of the first canonical correlation between two random vectors s
ubject to some natural constraints is treated in the paper. The problem is
usually referred to as restricted canonical correlation. A new approach to
solving the problem is given by translating it into a generalized eigenvalu
e problem with an n x n real symmetric matrix A and a positive definite mat
rix B of the same size. (C) 2000 Elsevier Science Inc. All rights reserved.