\end{equation}
\begin{algorithm}
-\caption{The matrix-free\index{matrix-free} method for
- Krylov subspace\index{iterative method!Krylov subspace} construction.}
+\caption{the matrix-free\index{matrix-free} method for
+ Krylov subspace\index{iterative method!Krylov subspace} construction}
\label{alg:mf_Gear}
\KwIn{ current Krylov subspace basis vector $v$,
time step lengths $h_i$,