Abstract The present paper is devoted to the study of existence a solution u for quasilinear second order differential equation with homogeneous Dirichlet conditions, where right-hand side tends infinity at = 0 . problem has been considered by several authors since 70's. Mainly, nonnegative sides were and thus only solutions possible. Here we consider case can change sign but non negative (fini...

Work on generalizing the deflated, restarted GMRES algorithm, useful in lattice studies using stochastic noise methods, is reported. We first show how the multi-mass extension of deflated GMRES can be implemented. We then give a deflated GMRES method that can be used on multiple right-hand sides of Ax = b in an efficient manner. We also discuss and give numerical results on the possibilty of co...