GroupedTransform

GroupedTransforms.GroupedTransform — Type

GroupedTransform

A struct to describe a GroupedTransformation

Fields

system::String - choice of "exp" or "cos" or "chui1" or "chui2" or "chui3" or "chui4" or "mixed"
setting::Vector{NamedTuple{(:u, :mode, :bandwidths, :bases),Tuple{Vector{Int},Module,Vector{Int},Vector{String}}}} - vector of the dimensions, mode, bandwidths and bases for each term/group, see also get_setting(system::String,d::Int,ds::Int,N::Vector{Int},basis_vect::Vector{String})::Vector{NamedTuple{(:u, :mode, :bandwidths, :bases),Tuple{Vector{Int},Module,Vector{Int},Vector{String}}}} and get_setting(system::String,U::Vector{Vector{Int}},N::Vector{Int},basis_vect::Vector{String})::Vector{NamedTuple{(:u, :mode, :bandwidths, :bases),Tuple{Vector{Int},Module,Vector{Int},Vector{String}}}}
X::Array{Float64} - array of nodes
transforms::Vector{LinearMap} - holds the low-dimensional sub transformations
basis_vect::Vector{String} - holds for every dimension if a cosinus basis [true] or exponential basis [false] is used

Constructor

GroupedTransform( system, setting, X, basis_vect::Vector{String} = Vector{String}([]) )

Additional Constructor

GroupedTransform( system, d, ds, N::Vector{Int}, X, basis_vect::Vector{String} = Vector{String}([]) )
GroupedTransform( system, U, N, X, basis_vect::Vector{String} = Vector{String}([]) )

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Base.:* — Method

*( F::GroupedTransform, fhat::GroupedCoefficients )::Vector{<:Number}

Overloads the * notation in order to achieve f = F*fhat.

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Base.:* — Method

*( F::GroupedTransform, f::Vector{<:Number} )::GroupedCoefficients

Overloads the * notation in order to achieve the adjoint transform f = F*f.

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Base.adjoint — Method

adjoint( F::GroupedTransform )::GroupedTransform

Overloads the F' notation and gives back the same GroupdTransform. GroupedTransform decides by the input if it is the normal trafo or the adjoint so this is only for convinience.

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Base.getindex — Method

F::GroupedTransform[u::Vector{Int}]::LinearMap{<:Number} or SparseArray

This function overloads getindex of GroupedTransform such that you can do F[[1,3]] to obtain the transform of the corresponding ANOVA term defined by u.

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