The numerical solution of the low-dimensional linear matrix equation arising from the GMRES method is discussed and an algorithm for its solution is proposed. Low rank solutions of discrete time ...

We analyze necessary and sufficient conditions on a nonsingular matrix A such that, for any initial vector r₀, an orthogonal basis of the Krylov subspaces $ {\cal K}_ {n} (A,r_ {0})$ is generated by a ...