Intervenant: L. Reichel (Department of Mathematics, Kent State University, USA) ------------ Titre: Breakdown-free GMRES for Singular Systems ------ Abstract: --------- GMRES is a popular iterative method for the solution of large linear systems of equations with a square nonsingular matrix. When the matrix is singular, GMRES may break down before an acceptable approximate solution has been determined. We discuss properties of GMRES solutions at breakdown and presents a modification of GMRES to overcome the breakdown.