Zbrent{F,T<:AbstractFloat}(f::F, a::T, fx::T, x::T, b::T, tol::T, itermax::Int=100, __iter::Int=0)

Create a new instance of Zbrent for finding the minimum of a function f. The parameters are:

• f: the function to find the minimum of.
• itermax: the maximum number of iterations to perform.
• tol: the tolerance for convergence. (note it is not the absolute tolerance)

`Zbrent([type=Float64]; f::F, itermax::Int=100, tol::T=T(TOL)) where {F,T<:AbstractFloat}`

Create a new instance of Zbrent for finding the minimum of a function f. The parameters are:

• type: the type of the floating point numbers to use (default is Float64).
• f: the function to find the minimum of.
• itermax: the maximum number of iterations to perform.
• tol: the tolerance for convergence (default is T(TOL)).

bracketmin(z::Zbrent{F,T},min_val=0.0,multiplier=2.0) where {F,T<:AbstractFloat} Bracket the function z.f to find a minimum. This function sets the initial bounds for the Brent's method. It uses the golden section search to find a point where the function value is lower than the initial bounds.

findraymin(zb::Zbrent{F,T}) where {F,T<:AbstractFloat}

Find the minimum of the function zb.f using the Brent's method. The function zb.f must be defined such that it returns a value for a given input x. The method uses a combination of bisection, secant, and inverse quadratic interpolation to find the minimum.

infologger(filename::String)

Create a logger that writes log messages to a file. This logger uses the FormatLogger to format messages and write them to the specified file.