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Update Detailed description of employed methods and their adaptations authored by jomjimenezme's avatar jomjimenezme
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......@@ -4,5 +4,5 @@ gmres is your friend
The Generalized Minimum Residual Method (GMRES) is a non-stationary iterative solver for large linear systems of equations, it was introduced by Yoused Saad back in 1986. It is one of the best known **Krylov subspace** methods.
Such methods are based upon in the krylov subspace $`\Kappa=span\{ r_0,..., A^{(k-1)}r_0\`}$, with $`r_0`$ being the residual $`r_0=b-Ax_0`$ for the $`k=0`$ iteration. Particularly GMRES minimizes $`||r_k||_2`$ in $`x_0+\Kappa(A,r_0)`$.
Such methods are based upon in the krylov subspace $`\Kappa =span\{ r_0,..., A^{(k-1)}r_0\}`$, with $`r_0`$ being the residual $`r_0=b-Ax_0`$ for the $`k=0`$ iteration. Particularly GMRES minimizes $`||r_k||_2`$ in $`x_0+\Kappa(A,r_0)`$.