... | @@ -7,11 +7,11 @@ The Generalized Minimum Residual Method (GMRES) is a non-stationary iterative so |
... | @@ -7,11 +7,11 @@ The Generalized Minimum Residual Method (GMRES) is a non-stationary iterative so |
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Such methods are based upon in the krylov subspace
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Such methods are based upon in the krylov subspace
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```math
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```math
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\Kappa =span\{ r_0,..., A^{(k-1)}r_0\}
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\Kappa =span\{ r_0,..., A^{(k-1)}r_0\},
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```
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```
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, 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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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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