A new procedure, based on the use of Lanczos vectors, for the efficien
t computation of eigenvector sensitivities to changes in system parame
ters is presented. The method is based on a matrix reduction that uses
the same Lanczos vectors as those used to obtain the original eigenve
ctors. Thus, the equation systems that are solved can he greatly reduc
ed from the original matrix sizes, An explanation of why the method is
most accurate for the lowest eigenvectors' derivatives is offered, Nu
merical results for two modest-sized examples are supplied, from which
trends in the method's accuracy are suggested.