EFFICIENT EIGENVECTOR SENSITIVITIES BY A NEW PROCEDURE BASED ON LANCZOS VECTORS

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.