Index

_

__init__() (BasicMaxStepGenerator method) (BasicMinStepGenerator method) (Bicomplex method) (CStepGenerator method) (Dea method) (Derivative method), [1] (Gradient method), [1], [2] (Hessdiag method), [1] (Hessian method), [1], [2] (Jacobian method), [1], [2], [3] (Limit method) (MaxStepGenerator method) (MinStepGenerator method) (Residue method) (Richardson method)

A

approx_fprime() (in module numdifftools.nd_statsmodels), [1]

B

base_step (MaxStepGenerator attribute) (MinStepGenerator attribute)

BasicMaxStepGenerator (class in numdifftools.step_generators) BasicMinStepGenerator (class in numdifftools.step_generators) Bicomplex (class in numdifftools.multicomplex)

C

convolve() (in module numdifftools.extrapolation), [1], [2], [3] count() (Derivative.info method) (Gradient.info method) (Hessdiag.info method) (Hessian.info method) (Jacobian.info method)

CStepGenerator (class in numdifftools.limits), [1], [2]

D

Dea (class in numdifftools.extrapolation), [1], [2], [3] dea3() (in module numdifftools.core), [1] (in module numdifftools.extrapolation), [1], [2], [3] dea_demo() (in module numdifftools.extrapolation), [1], [2] Derivative (class in numdifftools.core), [1], [2] (class in numdifftools.nd_algopy), [1], [2]

derivative() (in module numdifftools.fornberg), [1] Derivative.info (class in numdifftools.core) directionaldiff() (in module numdifftools.core), [1], [2] (in module numdifftools.nd_algopy), [1], [2] dtheta (CStepGenerator attribute)

E

EpsAlg (class in numdifftools.extrapolation), [1], [2] epsalg_demo() (in module numdifftools.extrapolation), [1], [2] error_estimate (Derivative.info attribute) (Gradient.info attribute) (Hessdiag.info attribute) (Hessian.info attribute) (Jacobian.info attribute)

even transformation, [1] extrapolate() (Richardson method), [1]

F

fd_derivative() (in module numdifftools.fornberg), [1] fd_weights() (in module numdifftools.fornberg), [1] fd_weights_all() (in module numdifftools.fornberg), [1] final_step (Derivative.info attribute) (Gradient.info attribute) (Hessdiag.info attribute) (Hessian.info attribute) (Jacobian.info attribute)

G

Gradient (class in numdifftools.core), [1], [2] (class in numdifftools.nd_algopy), [1], [2] (class in numdifftools.nd_scipy), [1], [2] (class in numdifftools.nd_statsmodels), [1]

Gradient.info (class in numdifftools.core)

H

Hessdiag (class in numdifftools.core), [1], [2] (class in numdifftools.nd_algopy), [1], [2] Hessdiag.info (class in numdifftools.core)

Hessian (class in numdifftools.core), [1], [2] (class in numdifftools.nd_algopy), [1], [2] (class in numdifftools.nd_statsmodels), [1], [2] Hessian.info (class in numdifftools.core)

I

index (Derivative.info attribute) (Gradient.info attribute) (Hessdiag.info attribute) (Hessian.info attribute) (Jacobian.info attribute)

J

Jacobian (class in numdifftools.core), [1], [2] (class in numdifftools.nd_algopy), [1], [2] (class in numdifftools.nd_scipy), [1], [2] (class in numdifftools.nd_statsmodels), [1], [2]

Jacobian.info (class in numdifftools.core)

L

limexp (Dea attribute)

Limit (class in numdifftools.limits), [1], [2] limit() (Limit method)

M

max_abs() (in module numdifftools.extrapolation) MaxStepGenerator (class in numdifftools.core), [1] (class in numdifftools.step_generators)

min_num_steps (MaxStepGenerator attribute) (MinStepGenerator attribute) MinStepGenerator (class in numdifftools.core), [1] (class in numdifftools.step_generators)

N

n (Derivative attribute) (Gradient attribute) (Hessdiag attribute) (Hessian attribute), [1] (Jacobian attribute) num_steps (CStepGenerator attribute) (MaxStepGenerator attribute) (MinStepGenerator attribute) numdifftools.core (module), [1] numdifftools.extrapolation (module), [1], [2] numdifftools.fornberg (module), [1]

numdifftools.info (module), [1] numdifftools.limits (module), [1] numdifftools.nd_algopy (module), [1], [2] numdifftools.nd_scipy (module), [1] numdifftools.nd_statsmodels (module), [1] numdifftools.tests (module) numdifftools.tests.conftest (module) numdifftools.tests.test_extrapolation (module) numdifftools.tests.test_limits (module) numdifftools.tests.test_multicomplex (module) numdifftools.tests.test_nd_algopy (module) numdifftools.tests.test_numdifftools (module)

O

odd transformation, [1]

order (Hessian attribute)

R

Residue (class in numdifftools.limits), [1], [2] Richardson (class in numdifftools.core), [1] (class in numdifftools.extrapolation), [1], [2], [3]

Richardson extrapolation, [1], [2], [3] richardson() (in module numdifftools.fornberg), [1] richardson_parameter() (in module numdifftools.fornberg) rule() (Richardson method), [1]

S

scale (MaxStepGenerator attribute) (MinStepGenerator attribute) set_richardson_rule() (Derivative method) (Gradient method) (Hessdiag method) (Hessian method) (Jacobian method) setup_method() (TestExtrapolation method) (TestRichardson method) step (Derivative attribute) (Gradient attribute) (Hessdiag attribute) (Hessian attribute) (Jacobian attribute)

step_generator_function() (MaxStepGenerator method) (MinStepGenerator method) step_nom (MaxStepGenerator attribute) (MinStepGenerator attribute) step_ratio (CStepGenerator attribute) (MaxStepGenerator attribute) (MinStepGenerator attribute)

T

Taylor (class in numdifftools.fornberg), [1] taylor() (in module numdifftools.fornberg), [1] test_add() (TestBicomplex static method) test_all_first_derivatives() (TestDerivative static method) test_all_second_derivatives() (TestDerivative static method) test_arccos() (TestBicomplex static method) test_arcsin() (TestBicomplex static method) test_arg_c() (TestBicomplex static method) test_assign() (TestBicomplex static method) test_backward_derivative_on_sinh() (TestDerivative method) test_central_and_forward_derivative_on_log() (TestDerivative method) test_central_forward_backward() (TestRichardson static method) test_complex() (TestHessdiag method) (TestRichardson static method) test_complex_hessian_issue_35() (TestHessian method) test_conjugate() (TestBicomplex method) test_cos() (TestBicomplex static method) test_dea3_on_trapz_sin() (TestExtrapolation method) test_dea_on_trapz_sin() (TestExtrapolation method) test_default_base_step() (TestCStepGenerator static method) test_default_generator() (TestCStepGenerator static method) test_default_scale() (TestDerivative static method) test_default_step() (TestHessdiag method) test_der_abs() (TestBicomplex static method) test_der_arccos() (TestBicomplex static method) test_der_arccosh() (TestBicomplex static method) test_der_arctan() (TestBicomplex static method) test_der_cos() (TestBicomplex static method) test_der_log() (TestBicomplex static method) test_derivative_cube() (TestDerivative static method), [1] test_derivative_exp() (TestDerivative static method), [1] test_derivative_of_cos() (TestLimit method) test_derivative_of_cos_x() (TestDerivative static method) test_derivative_on_log() (TestDerivative static method) test_derivative_on_sinh() (TestDerivative method) test_derivative_sin() (TestDerivative static method), [1] test_derivative_with_step_options() (TestDerivative static method) test_difficult_limit() (TestLimit method) test_directional_diff() (TestDerivative static method), [1] (TestGradient static method) test_division() (TestBicomplex static method) test_dot() (TestBicomplex static method) test_epsal() (TestExtrapolation method) test_eq() (TestBicomplex static method) test_fixed_base_step() (TestCStepGenerator static method) test_fixed_step() (TestHessdiag method) test_flat() (TestBicomplex method) test_forward() (TestHessdiag static method) test_fun_with_additional_parameters() (TestDerivative static method), [1] test_ge() (TestBicomplex static method) test_gradient() (TestGradient static method) test_gt() (TestBicomplex static method)

test_hessian_cos_x_y__at_0_0() (TestHessian static method) test_hessian_cos_x_y_at_0_0() (TestHessian static method) test_high_order_derivative_cos() (TestDerivative static method), [1] test_infinite_functions() (TestDerivative method) test_init() (TestBicomplex method) test_issue_25() (TestJacobian static method), [1] test_issue_27a() (TestJacobian static method) test_issue_27b() (TestJacobian static method) test_le() (TestBicomplex static method) test_lt() (TestBicomplex static method) test_multiplication() (TestBicomplex static method) test_neg() (TestBicomplex method) test_norm() (TestBicomplex method) test_on_matrix_valued_function() (TestJacobian static method), [1] test_on_scalar_function() (TestGradient static method) (TestJacobian static method), [1] test_on_vector_valued_function() (TestJacobian method) (TestJacobian static method) test_order_step_combinations() (TestRichardson method) test_pow() (TestBicomplex static method) test_repr() (TestBicomplex method) test_residue_1_div_1_minus_exp_x() (TestLimit method) (TestResidue method) test_residue_1_div_sin_x2() (TestResidue method) test_reverse() (TestHessdiag static method) test_richardson() (TestExtrapolation method) test_rpow() (TestBicomplex static method) test_rsub() (TestBicomplex static method) test_run_hamiltonian() (TestHessian method), [1] test_scalar_to_vector() (TestJacobian static method), [1] test_shape() (TestBicomplex method) test_sinx_div_x() (TestLimit method) test_sub() (TestBicomplex static method) test_subsref() (TestBicomplex static method) TestBicomplex (class in numdifftools.tests.test_multicomplex) TestCStepGenerator (class in numdifftools.tests.test_limits) TestDerivative (class in numdifftools.tests.test_multicomplex) (class in numdifftools.tests.test_nd_algopy) (class in numdifftools.tests.test_numdifftools) TestExtrapolation (class in numdifftools.tests.test_extrapolation) TestGradient (class in numdifftools.tests.test_nd_algopy) (class in numdifftools.tests.test_numdifftools) TestHessdiag (class in numdifftools.tests.test_nd_algopy) (class in numdifftools.tests.test_numdifftools) TestHessian (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) TestLimit (class in numdifftools.tests.test_limits) TestResidue (class in numdifftools.tests.test_limits) TestRichardson (class in numdifftools.tests.test_extrapolation) (class in numdifftools.tests.test_numdifftools)