API

Library


TaylorSeriesModule.
TaylorSeries

A Julia package for Taylor expansions in one or more independent variables.

The basic constructors are Taylor1 and TaylorN; see also HomogeneousPolynomial.

source

Types

Taylor1
HomogeneousPolynomial
TaylorN
AbstractSeries
ParamsTaylorN

Functions and methods

Taylor1([::Type{Float64}], [order::Int64=1])
HomogeneousPolynomial{T<:Number}(::Type{T}, ::Int)
TaylorN{T<:Number}(::Type{T}, nv::Int; [order::Int=get_order()])
set_variables
get_variables
show_params_TaylorN
show_monomials
getcoeff
evaluate
evaluate!
taylor_expand
update!
derivative
integrate
gradient
jacobian
jacobian!
hessian
hessian!
inverse
abs
norm
isapprox
isfinite
displayBigO

Internals

generate_tables
generate_index_vectors
in_base
make_inverse_dict
resize_coeffs1!
resize_coeffsHP!
constant_term
mul!
mul!(c::HomogeneousPolynomial, a::HomogeneousPolynomial, b::HomogeneousPolynomial)
div!
pow!
square
sqr!
sqr!(c::HomogeneousPolynomial, a::HomogeneousPolynomial)
sqrt!
exp!
log!
sincos!
tan!
asin!
acos!
atan!
sinhcosh!
tanh!
mul!
derivative!

Index