A generalized nonsymmetric Lanczos procedure

We present a procedure for computing interior eigenvalues and corresponding eigenvectors of certain generalized nonsymmetric eigenvalue problems which arise, for example, in the normal mode analysis of plasmas in magnetohydrodynamics. This procedure combines a generalization of our nonsymmetric Lanczos procedure with a shift and invert strategy and a Rayleigh quotient-inverse iteration procedure. © 1989.