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

@@ -4,7 +4,15 @@ 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 
+
+```markdown
+```math
+\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  $`x_0+\Kappa(A,r_0)`$.