Library
TaylorSeries
— Module.TaylorSeries
A Julia package for Taylor expansions in one or more independent variables.
The basic constructors are Taylor1
and TaylorN
; see also HomogeneousPolynomial
.
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
TaylorSeries.AbstractSeries
TaylorSeries.HomogeneousPolynomial
TaylorSeries.HomogeneousPolynomial
TaylorSeries.TaylorN
TaylorSeries.TaylorN
Base.LinAlg.gradient
Base.abs
TaylorSeries.acos!
TaylorSeries.asin!
TaylorSeries.atan!
TaylorSeries.constant_term
TaylorSeries.derivative
TaylorSeries.derivative!
TaylorSeries.displayBigO
TaylorSeries.evaluate
TaylorSeries.exp!
TaylorSeries.generate_index_vectors
TaylorSeries.get_variables
TaylorSeries.getcoeff
TaylorSeries.hessian
TaylorSeries.hessian!
TaylorSeries.in_base
TaylorSeries.integrate
TaylorSeries.jacobian
TaylorSeries.jacobian!
TaylorSeries.log!
TaylorSeries.make_inverse_dict
TaylorSeries.mul!
TaylorSeries.mul!
TaylorSeries.resize_coeffs1!
TaylorSeries.resize_coeffsHP!
TaylorSeries.set_variables
TaylorSeries.show_monomials
TaylorSeries.show_params_TaylorN
TaylorSeries.sincos!
TaylorSeries.sinhcosh!
TaylorSeries.sqr!
TaylorSeries.sqr!
TaylorSeries.square
TaylorSeries.tan!
TaylorSeries.tanh!