GMRES convergence bounds that depend on the right-hand-side vector
GMRES convergence bounds that depend on the right-hand-side vector
We consider the convergence of the algorithm GMRES of Saad and Schultz for solving linear equations Bx=b, where B ∈ ℂn × n is nonsingular and diagonalizable, and b ∈ ℂn. Our analysis explicitly includes the initial residual vector r0. We show that the GMRES residual norm satisfies a weighted …