dot(x, A, y)

Compute the dot product x' * A * y between two vectors x and y.

minimize!(o::GenericMinimizer, fn::Function, lb::NTuple{ND}, ub::NTuple{ND}; itmax::Int=210*ND, dmax::Real=1e-7, avgtimes::Int=1)

An interface function to proceed the minimization.

Arguments:

• obj: An object for the minimization created by minimizer(...).
• fn: Objective function to be minimized. fn should be callable with only one argument of fn(x::Vector). If you have any additional arguments need to pass into it, dispatch the function by fcall(fn, x) = fn(x; kwargs...)
• lb: Lower bounds of minimization which are forced to be feasible.
• ub: Upper bounds of minimization which are forced to be feasible.
• itmax: Maximum of minimizg iteration (optional).
• dmax: An Euclidean distance acts as a criterion to prevent the population falling into local minimal (optional).
• avgtimes: Number of average times of the whole minimization process (optional).

minimizer(ND::Int; NP::Int=35*ND, NE::Int=ND+1)

An interface function to create/initialize an object for the minimization.

Arguments:

• ND: Dimension of parameters to be minimized.
• NP: Desired population size (optional).
• NE: Desired size of elites (optional).

tr(A)

Matrix trace. Sums the diagonal elements of A. A must be a square matrix.