Detailed-description-of-employed-methods-and-their-adaptations.md

@@ -6,3 +6,9 @@ The Generalized Minimum Residual Method (GMRES) is a non-stationary iterative so
 
 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  $`x_0+\Kappa(A,r_0)`$.
 
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