numdifftools
Introduction to Numdifftools
Getting Started
See also
Numerical differentiation
Introduction
Numerical differentiation of a general function of one variable
Unequally spaced finite difference rules
Odd and even transformations of a function
Complex step derivative
High order derivative
Richardson extrapolation methodology applied to derivative estimation
Multiple term Richardson extrapolants
Uncertainty estimates for Derivative
Derivative in action
Gradient and Hessian estimation
Conclusion
Acknowledgments
References
Algorithmic differentiation
Numdifftools.nd_algopy
Algoritmic differentiation
License
Developers
Changelog
Version 0.9.13, October 30, 2015
Version 0.9.12, August 28, 2015
Version 0.9.11, August 27, 2015
Version 0.9.10, August 26, 2015
Version 0.9.4, August 26, 2015
Version 0.9.3, August 23, 2015
Version 0.9.2, August 20, 2015
Version 0.9.1, August 20,2015
Version 0.7.7, December 18, 2014
Version 0.7.3, December 17, 2014
Version 0.6.0, February 8, 2014
Version 0.5.0, January 10, 2014
Version 0.4.0, May 5, 2012
Version 0.3.5, May 19, 2011
Version 0.3.4, Feb 24, 2011
Version 0.3.1, May 20, 2009
Module reference
numdifftools package
numdifftools
Docs
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Index
A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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L
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M
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N
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O
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P
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R
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S
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T
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V
A
arccos() (numdifftools.multicomplex.bicomplex method)
arccosh() (numdifftools.multicomplex.bicomplex method)
arcsin() (numdifftools.multicomplex.bicomplex method)
arcsinh() (numdifftools.multicomplex.bicomplex method)
arctan() (numdifftools.multicomplex.bicomplex method)
arctanh() (numdifftools.multicomplex.bicomplex method)
arg_c() (numdifftools.multicomplex.bicomplex method)
arg_c1p() (numdifftools.multicomplex.bicomplex method)
asarray() (numdifftools.multicomplex.bicomplex static method)
B
bicomplex (class in numdifftools.multicomplex)
BicomplexTester (class in numdifftools.tests.test_multicomplex)
C
c_abs() (in module numdifftools.multicomplex)
c_atan2() (in module numdifftools.multicomplex)
c_max() (in module numdifftools.multicomplex)
c_min() (in module numdifftools.multicomplex)
classicalHamiltonian (class in numdifftools.tests.test_hessian)
(class in numdifftools.tests.test_nd_algopy)
conjugate() (numdifftools.multicomplex.bicomplex method)
convolve() (in module numdifftools.extrapolation)
cos() (numdifftools.multicomplex.bicomplex method)
cosh() (numdifftools.multicomplex.bicomplex method)
cot() (numdifftools.multicomplex.bicomplex method)
coth() (numdifftools.multicomplex.bicomplex method)
csc() (numdifftools.multicomplex.bicomplex method)
csch() (numdifftools.multicomplex.bicomplex method)
D
dcos() (in module numdifftools.test_functions)
ddcos() (in module numdifftools.test_functions)
Dea (class in numdifftools.extrapolation)
dea3() (in module numdifftools.core)
(in module numdifftools.extrapolation)
Derivative (class in numdifftools.core)
(class in numdifftools.nd_algopy)
DerivativeTester (class in numdifftools.tests.test_multicomplex)
dot() (numdifftools.multicomplex.bicomplex method)
E
error_estimate (numdifftools.limits.Limit.info attribute)
even transformation
exp() (numdifftools.multicomplex.bicomplex method)
exp2() (numdifftools.multicomplex.bicomplex method)
expm1() (numdifftools.multicomplex.bicomplex method)
extrapolate() (numdifftools.core.Richardson method)
(numdifftools.extrapolation.Richardson method)
F
final_step (numdifftools.limits.Limit.info attribute)
flat() (numdifftools.multicomplex.bicomplex method)
G
get_function() (in module numdifftools.test_functions)
Gradient (class in numdifftools.core)
(class in numdifftools.nd_algopy)
H
Hessdiag (class in numdifftools.core)
(class in numdifftools.nd_algopy)
Hessian (class in numdifftools.core)
(class in numdifftools.nd_algopy)
I
imag (numdifftools.multicomplex.bicomplex attribute)
imag1 (numdifftools.multicomplex.bicomplex attribute)
imag12 (numdifftools.multicomplex.bicomplex attribute)
imag2 (numdifftools.multicomplex.bicomplex attribute)
index (numdifftools.limits.Limit.info attribute)
initialposition() (numdifftools.tests.test_hessian.classicalHamiltonian method)
(numdifftools.tests.test_nd_algopy.classicalHamiltonian method)
J
Jacobian (class in numdifftools.core)
(class in numdifftools.nd_algopy)
L
Limit (class in numdifftools.limits)
limit() (numdifftools.limits.Limit method)
Limit.info (class in numdifftools.limits)
load_tests() (in module numdifftools.tests.test_numdifftools_docstrings)
log() (numdifftools.multicomplex.bicomplex method)
log10() (numdifftools.multicomplex.bicomplex method)
log1p() (numdifftools.multicomplex.bicomplex method)
log2() (numdifftools.multicomplex.bicomplex method)
logaddexp() (numdifftools.multicomplex.bicomplex method)
logaddexp2() (numdifftools.multicomplex.bicomplex method)
M
mat2bicomp() (numdifftools.multicomplex.bicomplex static method)
MaxStepGenerator (class in numdifftools.core)
MinStepGenerator (class in numdifftools.core)
(class in numdifftools.limits)
mod_c() (numdifftools.multicomplex.bicomplex method)
N
n (numdifftools.core.Derivative attribute)
nom_step() (in module numdifftools.limits)
norm() (numdifftools.multicomplex.bicomplex method)
normal_modes() (numdifftools.tests.test_hessian.classicalHamiltonian method)
(numdifftools.tests.test_nd_algopy.classicalHamiltonian method)
numdifftools (module)
numdifftools.core (module)
numdifftools.extrapolation (module)
numdifftools.info (module)
,
[1]
numdifftools.limits (module)
numdifftools.multicomplex (module)
numdifftools.nd_algopy (module)
,
[1]
numdifftools.test_functions (module)
numdifftools.tests (module)
numdifftools.tests.conftest (module)
numdifftools.tests.test_extrapolation (module)
numdifftools.tests.test_hessian (module)
numdifftools.tests.test_limits (module)
numdifftools.tests.test_multicomplex (module)
numdifftools.tests.test_nd_algopy (module)
numdifftools.tests.test_numdifftools (module)
numdifftools.tests.test_numdifftools_docstrings (module)
O
odd transformation
P
potential() (numdifftools.tests.test_hessian.classicalHamiltonian method)
(numdifftools.tests.test_nd_algopy.classicalHamiltonian method)
R
real (numdifftools.multicomplex.bicomplex attribute)
Richardson (class in numdifftools.core)
(class in numdifftools.extrapolation)
Richardson extrapolation
,
[1]
S
sec() (numdifftools.multicomplex.bicomplex method)
sech() (numdifftools.multicomplex.bicomplex method)
setUp() (numdifftools.tests.test_extrapolation.TestExtrapolation method)
shape (numdifftools.multicomplex.bicomplex attribute)
sin() (numdifftools.multicomplex.bicomplex method)
sinh() (numdifftools.multicomplex.bicomplex method)
size (numdifftools.multicomplex.bicomplex attribute)
sqrt() (numdifftools.multicomplex.bicomplex method)
suite() (in module numdifftools.tests.test_numdifftools_docstrings)
T
tan() (numdifftools.multicomplex.bicomplex method)
tanh() (numdifftools.multicomplex.bicomplex method)
test_add() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_all_first_derivatives() (numdifftools.tests.test_multicomplex.DerivativeTester method)
test_all_second_derivatives() (numdifftools.tests.test_multicomplex.DerivativeTester method)
test_arccos() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_arcsin() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_arg_c() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_assign() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_backward_derivative_on_sinh() (numdifftools.tests.test_numdifftools.TestDerivative method)
test_central() (numdifftools.tests.test_numdifftools.TestRichardson method)
test_central_and_forward_derivative_on_log() (numdifftools.tests.test_numdifftools.TestDerivative method)
test_complex() (numdifftools.tests.test_numdifftools.TestHessdiag method)
(numdifftools.tests.test_numdifftools.TestRichardson method)
test_conjugate() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_cos() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_dea() (in module numdifftools.extrapolation)
test_dea3_on_trapz_sin() (numdifftools.tests.test_extrapolation.TestExtrapolation method)
test_dea_on_trapz_sin() (numdifftools.tests.test_extrapolation.TestExtrapolation method)
test_default_base_step() (numdifftools.tests.test_numdifftools.TestStepGenerator method)
test_default_generator() (numdifftools.tests.test_numdifftools.TestStepGenerator method)
test_default_scale() (numdifftools.tests.test_numdifftools.TestDerivative method)
test_default_step() (numdifftools.tests.test_numdifftools.TestHessdiag method)
test_der_abs() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_der_arccos() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_der_arccosh() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_der_arctan() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_der_cos() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_der_log() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_derivative_cube() (numdifftools.tests.test_nd_algopy.TestDerivative method)
(numdifftools.tests.test_numdifftools.TestDerivative method)
test_derivative_exp() (numdifftools.tests.test_nd_algopy.TestDerivative method)
(numdifftools.tests.test_numdifftools.TestDerivative method)
test_derivative_of_cos() (numdifftools.tests.test_limits.TestLimit method)
test_derivative_of_cos_x() (numdifftools.tests.test_numdifftools.TestDerivative method)
test_derivative_on_log() (numdifftools.tests.test_nd_algopy.TestDerivative method)
test_derivative_on_sinh() (numdifftools.tests.test_nd_algopy.TestDerivative method)
test_derivative_sin() (numdifftools.tests.test_nd_algopy.TestDerivative method)
(numdifftools.tests.test_numdifftools.TestDerivative method)
test_difficult_limit() (numdifftools.tests.test_limits.TestLimit method)
test_division() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_docstrings() (in module numdifftools.info)
(in module numdifftools.limits)
(in module numdifftools.nd_algopy)
test_dot() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_eq() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_fixed_base_step() (numdifftools.tests.test_numdifftools.TestStepGenerator method)
test_fixed_step() (numdifftools.tests.test_numdifftools.TestHessdiag method)
test_flat() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_forward() (numdifftools.tests.test_nd_algopy.TestHessdiag method)
test_forward_backward() (numdifftools.tests.test_numdifftools.TestRichardson method)
test_fun_with_additional_parameters() (numdifftools.tests.test_nd_algopy.TestDerivative method)
(numdifftools.tests.test_numdifftools.TestDerivative method)
test_ge() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_gt() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_hessian() (numdifftools.tests.test_hessian.TestHessian method)
test_hessian_cosIx_yI_at_I0_0I() (numdifftools.tests.test_nd_algopy.TestHessian method)
(numdifftools.tests.test_numdifftools.TestHessian method)
test_high_order_derivative_cos() (numdifftools.tests.test_nd_algopy.TestDerivative method)
(numdifftools.tests.test_numdifftools.TestDerivative method)
test_infinite_functions() (numdifftools.tests.test_numdifftools.TestDerivative method)
test_init() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_le() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_lt() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_multiplication() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_neg() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_norm() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_on_scalar_function() (numdifftools.tests.test_nd_algopy.TestGradient method)
(numdifftools.tests.test_nd_algopy.TestJacobian method)
test_on_vector_valued_function() (numdifftools.tests.test_nd_algopy.TestJacobian method)
test_order_step_combinations() (numdifftools.tests.test_extrapolation.TestRichardson method)
test_pow() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_repr() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_residue() (numdifftools.tests.test_limits.TestLimit method)
test_reverse() (numdifftools.tests.test_nd_algopy.TestHessdiag method)
test_richardson() (numdifftools.tests.test_extrapolation.TestExtrapolation method)
test_rpow() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_rsub() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_run_hamiltonian() (numdifftools.tests.test_nd_algopy.TestHessian method)
test_shape() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_sinx_divx() (numdifftools.tests.test_limits.TestLimit method)
test_sub() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_subsref() (numdifftools.tests.test_multicomplex.BicomplexTester method)
test_weights() (numdifftools.tests.test_numdifftools.TestFornbergWeights method)
testdea3() (numdifftools.tests.test_numdifftools.TestGlobalFunctions method)
TestDerivative (class in numdifftools.tests.test_nd_algopy)
(class in numdifftools.tests.test_numdifftools)
TestExtrapolation (class in numdifftools.tests.test_extrapolation)
TestFornbergWeights (class in numdifftools.tests.test_numdifftools)
TestGlobalFunctions (class in numdifftools.tests.test_numdifftools)
TestGradient (class in numdifftools.tests.test_nd_algopy)
(class in numdifftools.tests.test_numdifftools)
testgradient() (numdifftools.tests.test_numdifftools.TestGradient method)
TestHessdiag (class in numdifftools.tests.test_nd_algopy)
(class in numdifftools.tests.test_numdifftools)
TestHessian (class in numdifftools.tests.test_hessian)
(class in numdifftools.tests.test_nd_algopy)
(class in numdifftools.tests.test_numdifftools)
TestJacobian (class in numdifftools.tests.test_nd_algopy)
(class in numdifftools.tests.test_numdifftools)
testjacobian() (numdifftools.tests.test_numdifftools.TestJacobian method)
TestLimit (class in numdifftools.tests.test_limits)
TestRichardson (class in numdifftools.tests.test_extrapolation)
(class in numdifftools.tests.test_numdifftools)
TestStepGenerator (class in numdifftools.tests.test_numdifftools)
V
valarray() (in module numdifftools.limits)