Preface -- On propagating orthogonal transformations in a product of 2 x 2 triangular matrices -- A parallel divide and conquer algorithm for the generalized real symmetric definite tridiagonal eigenproblem -- A parallel implementation of the GMRES method -- Optimal semi-iterative methods applied to SOR in the mixed case -- Differential qd algorithms -- Solution of shifted linear systems by quasi-minimal residual iterations -- Implementation details of the coupled QMR algorithm -- Preconditioned iterative regularization for ill-posed problems -- Block-ADI preconditioners for solving sparse nonsymmetric linear systems of equations -- A new application for generalized M-matrices -- On symmetric ultrametric matrices.