Releases · JuliaApproximation/BasisFunctions.jl

the inverse of a function can be computed in a number of limited cases (monotonic function on an interval)
Gram Schmidt orthogonalisation of a basis was added (using the modified Gram Schmidt algorithm)

Assets 2

19 Nov 08:34

github-actions

v0.7.0

c1cfd46

v0.7.0

BasisFunctions v0.7.0

Diff since v0.6.5

Breaking changes

an expansion (dictionary+coefficients) no longer acts as the vector of coefficients. This means it cannot be indexed (as in e[2] returning the second coefficient) and cannot be iterated over
there are some interface cleanups. The norm and moment functions with a combination of dictionary and coefficient as arguments are renamed to dict_norm and dict_moment instead. One can still invoke norm on a basisfunction, e.g., norm(dict[3])

Features

computing with expansions has improved. For example, computing the diagonal of the Christoffel-Darboux kernel of a polynomial basis can be done as follows:

julia> basis = orthogonalize(Legendre(3))
DiagonalOperator(v) * Legendre(3)

v = 3-element Vector{Float64}:
 0.707107
 1.22474
 1.58114

julia> k = sum(phi^2 for phi in basis)
Expansion(Legendre(5), v)

v = 5-element Vector{Float64}:
 1.5
 8.28036e-16
 1.71429
 1.14325e-15
 1.28571

Assets 2

20 Sep 11:23

github-actions

v0.6.5

2e5d6fb

v0.6.5

BasisFunctions v0.6.5

Diff since v0.6.4

supporting routines for the Plots package have been moved to an extension conditional on loading RecipesBase
similarly, support for PGFPlotsX has moved to an extension

Closed issues: