KRYLOV SUBSPACE ITERATIONS FOR DETERMINISTIC k–EIGENVALUE CALCULATIONS James S. Warsa, Todd A. Wareing, Jim E. Morel, John M. McGhee Transport Methods Group Los Alamos National Laboratory Los Alamos, NM 87545–0001 and Richard B. Lehoucq Computational Mathematics and Algorithms Department Sandia National Laboratories Albuquerque, NM 87185–1110 Send proofs to: James S. Warsa Number of pages: 21 Los Alamos National Laboratory Number of figures: 4 CCS–4, MS D409 Number of tables: 4 Los Alamos, NM 87545–0001 E-mail: warsa@lanl.gov FAX: 505-665-5538