More modifications on block-Krylov processes

docs/src/block_processes.md

@@ -25,6 +25,8 @@ T_{k+1,k} =
 \end{bmatrix}.
 ```
 
+The function [`hermitian_lanczos`](@ref hermitian_lanczos) returns $V_{k+1}$, $\Psi_1$ and $T_{k+1,k}$.
+
 ```@docs
 hermitian_lanczos(::Any, ::AbstractMatrix{FC}, ::Int) where FC <: (Union{Complex{T}, T} where T <: AbstractFloat)
 ```
@@ -64,6 +66,8 @@ T_{k,k+1}^H =
 \end{bmatrix}.
 ```
 
+The function [`nonhermitian_lanczos`](@ref nonhermitian_lanczos) returns $V_{k+1}$, $\Phi_1$, $T_{k+1,k}$, $U_{k+1}$ $\Phi_1^H$ and $T_{k,k+1}^H$.
+
 ```@docs
 nonhermitian_lanczos(::Any, ::AbstractMatrix{FC}, ::AbstractMatrix{FC}, ::Int) where FC <: (Union{Complex{T}, T} where T <: AbstractFloat)
 ```
@@ -93,6 +97,8 @@ H_{k+1,k} =
 \end{bmatrix}.
 ```
 
+The function [`arnoldi`](@ref arnoldi) returns $V_{k+1}$, $\Gamma$, and $H_{k+1,k}$.
+
 ```@docs
 arnoldi(::Any, ::AbstractMatrix{FC}, ::Int) where FC <: (Union{Complex{T}, T} where T <: AbstractFloat)
 ```
@@ -132,6 +138,8 @@ L_{k+1}^H =
 \end{bmatrix}.
 ```
 
+The function [`golub_kahan`](@ref golub_kahan) returns $V_{k+1}$, $U_{k+1}$, $\Psi_1$ and $L_{k+1}$.
+
 ```@docs
 golub_kahan(::Any, ::AbstractMatrix{FC}, ::Int) where FC <: (Union{Complex{T}, T} where T <: AbstractFloat)
 ```
@@ -171,6 +179,8 @@ T_{k,k+1}^H =
 \end{bmatrix}.
 ```
 
+The function [`saunders_simon_yip`](@ref saunders_simon_yip) returns $V_{k+1}$, $\Psi_1$, $T_{k+1,k}$, $U_{k+1}$, $\Phi_1^H$ and $T_{k,k+1}^H$.
+
 ```@docs
 saunders_simon_yip(::Any, ::AbstractMatrix{FC}, ::AbstractMatrix{FC}, ::Int) where FC <: (Union{Complex{T}, T} where T <: AbstractFloat)
 ```
@@ -210,6 +220,8 @@ F_{k+1,k} =
 \end{bmatrix}.
 ```
 
+The function [`montoison_orban`](@ref montoison_orban) returns $V_{k+1}$, $\Gamma$, $H_{k+1,k}$, $U_{k+1}$, $\Lambda$, and $F_{k+1,k}$.
+
 ```@docs
 montoison_orban(::Any, ::Any, ::AbstractMatrix{FC}, ::AbstractMatrix{FC}, ::Int) where FC <: (Union{Complex{T}, T} where T <: AbstractFloat)
 ```

src/Krylov.jl

@@ -6,6 +6,7 @@ include("krylov_utils.jl")
 include("krylov_stats.jl")
 include("krylov_solvers.jl")
 
+include("processes_utils.jl")
 include("krylov_processes.jl")
 include("block_krylov_processes.jl")