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Update the block-Krylov processes
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amontoison committed Sep 23, 2023
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2 changes: 1 addition & 1 deletion docs/src/processes.md
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Expand Up @@ -158,7 +158,7 @@ The polynomials are defined from the recursions:
\end{align*}
```

Because $\alpha_k = u_k^H A v_k$ and $(\bar{\gamma}_{k+1} u_{k+1})^H (\beta_{k+1} v_{k+1}) = \gamma_{k+1} \beta_{k+1}$, we can define the coefficients of $T_{k+1,k}$ and $T_{k,k+1}^H$ as follows:
Because $\alpha_k = u_k^H A v_k$ and $(\bar{\gamma}_{k+1} u_{k+1})^H (\beta_{k+1} v_{k+1}) = \gamma_{k+1} \beta_{k+1}$, we can determine the coefficients of $T_{k+1,k}$ and $T_{k,k+1}^H$ as follows:
```math
\begin{align*}
\alpha_k &= \dfrac{1}{\gamma_k \beta_k} \langle~Q_{k-1}(A^H) c \, , \, A P_{k-1}(A) b~\rangle \\
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