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

apply() (LogHessianRule method) (LogRule method) approx_fprime() (in module numdifftools.nd_statsmodels) approx_fprime_cs() (in module numdifftools.nd_statsmodels) arccos() (Bicomplex method) arccosh() (Bicomplex method)

arcsin() (Bicomplex method) arcsinh() (Bicomplex method) arctan() (Bicomplex method) arctanh() (Bicomplex method) arg_c() (Bicomplex method) arg_c1p() (Bicomplex method) asarray() (Bicomplex static method)

B

base_step (MaxStepGenerator property) (MinStepGenerator property), [1]

BasicMaxStepGenerator (class in numdifftools.step_generators), [1] BasicMinStepGenerator (class in numdifftools.step_generators), [1] Bicomplex (class in numdifftools.multicomplex), [1]

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.hamiltonian) conjugate() (Bicomplex method) convolve() (in module numdifftools.extrapolation), [1] cos() (Bicomplex method) cosh() (Bicomplex method)

cot() (Bicomplex method) coth() (Bicomplex method) count() (Derivative.info method) (Gradient.info method) (Hessdiag.info method) (Hessian.info method) (Jacobian.info method) csc() (Bicomplex method) csch() (Bicomplex method) CStepGenerator (class in numdifftools.limits), [1]

D

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

derivative() (in module numdifftools.fornberg) Derivative.info (class in numdifftools.core) diff (LogRule property) DifferenceFunctions (class in numdifftools.finite_difference) directionaldiff() (in module numdifftools.core), [1] (in module numdifftools.nd_algopy), [1] dot() (Bicomplex method) dtheta (CStepGenerator property)

E

EpsAlg (class in numdifftools.extrapolation) epsalg_demo() (in module numdifftools.extrapolation) error_estimate (Derivative.info property) (Gradient.info property) (Hessdiag.info property) (Hessian.info property) (Jacobian.info property)

eval_first_condition (LogRule property) even transformation, [1] ExampleFunctions (class in numdifftools.tests.test_fornberg) exp() (Bicomplex method) exp2() (Bicomplex method) expm1() (Bicomplex method) extrapolate() (Richardson method), [1]

F

f_value (Derivative.info property) (Gradient.info property) (Hessdiag.info property) (Hessian.info property) (Jacobian.info property) fd_derivative() (in module numdifftools.fornberg) fd_weights() (in module numdifftools.fornberg) fd_weights_all() (in module numdifftools.fornberg) final_step (Derivative.info property) (Gradient.info property) (Hessdiag.info property) (Hessian.info property) (Jacobian.info property) flat() (Bicomplex method)

fun0() (ExampleFunctions static method) fun1() (ExampleFunctions static method) fun10() (ExampleFunctions static method) fun11() (ExampleFunctions static method) fun12() (ExampleFunctions static method) fun13() (ExampleFunctions static method) fun14() (ExampleFunctions static method) fun2() (ExampleFunctions static method) fun3() (ExampleFunctions static method) fun4() (ExampleFunctions static method) fun5() (ExampleFunctions static method) fun6() (ExampleFunctions static method) fun7() (ExampleFunctions static method) fun8() (ExampleFunctions static method) fun9() (ExampleFunctions static method)

G

get_base_step() (in module numdifftools.step_generators) get_nominal_step() (in module numdifftools.step_generators) Gradient (class in numdifftools.core), [1] (class in numdifftools.nd_algopy), [1] (class in numdifftools.nd_scipy), [1] (class in numdifftools.nd_statsmodels)

Gradient.info (class in numdifftools.core)

H

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

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

I

imag (Bicomplex property) imag1 (Bicomplex property) imag12 (Bicomplex property) imag2 (Bicomplex property) increments() (JacobianDifferenceFunctions static method)

index (Derivative.info property) (Gradient.info property) (Hessdiag.info property) (Hessian.info property) (Jacobian.info property) initialposition() (ClassicalHamiltonian method)

J

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

Jacobian.info (class in numdifftools.core) JacobianDifferenceFunctions (class in numdifftools.finite_difference)

L

limexp (Dea property) Limit (class in numdifftools.limits), [1] limit() (Limit method) log() (Bicomplex method) log10() (Bicomplex method) log1p() (Bicomplex method)

log2() (Bicomplex method) logaddexp() (Bicomplex method) logaddexp2() (Bicomplex method) LogHessdiagRule (class in numdifftools.finite_difference) LogHessianRule (class in numdifftools.finite_difference) LogJacobianRule (class in numdifftools.finite_difference) LogRule (class in numdifftools.finite_difference)

M

make_exact() (in module numdifftools.finite_difference) (in module numdifftools.step_generators) mat2bicomp() (Bicomplex static method) max_abs() (in module numdifftools.extrapolation) MaxStepGenerator (class in numdifftools.core) (class in numdifftools.step_generators), [1] method (Derivative property) (Gradient property) (Hessdiag property) (Hessian property) (Jacobian property) method_order (Derivative property) (Gradient property) (Hessdiag property) (Hessian property) (Jacobian property) (LogRule property) min_num_steps (MaxStepGenerator property) (MinStepGenerator property), [1] MinStepGenerator (class in numdifftools.core) (class in numdifftools.step_generators), [1] mod_c() (Bicomplex method)

module numdifftools.core numdifftools.extrapolation numdifftools.finite_difference numdifftools.fornberg numdifftools.info numdifftools.limits numdifftools.multicomplex numdifftools.nd_algopy, [1] numdifftools.nd_scipy numdifftools.nd_statsmodels numdifftools.step_generators numdifftools.tests.hamiltonian numdifftools.tests.test_extrapolation numdifftools.tests.test_fornberg numdifftools.tests.test_limits numdifftools.tests.test_multicomplex numdifftools.tests.test_nd_algopy numdifftools.tests.test_nd_scipy numdifftools.tests.test_numdifftools numdifftools.tests.test_scripts numdifftools.tests.test_step_generators

N

n (Derivative property) (Gradient property) (Hessdiag property) (Hessian property), [1] (Jacobian property) (LogHessdiagRule property) (LogHessianRule property) norm() (Bicomplex method) normal_modes() (ClassicalHamiltonian method) num_steps (CStepGenerator property) (MaxStepGenerator property) (MinStepGenerator property), [1] numdifftools.core module numdifftools.extrapolation module numdifftools.finite_difference module numdifftools.fornberg module numdifftools.info module numdifftools.limits module numdifftools.multicomplex module numdifftools.nd_algopy module, [1]

numdifftools.nd_scipy module numdifftools.nd_statsmodels module numdifftools.step_generators module numdifftools.tests.hamiltonian module numdifftools.tests.test_extrapolation module numdifftools.tests.test_fornberg module numdifftools.tests.test_limits module numdifftools.tests.test_multicomplex module numdifftools.tests.test_nd_algopy module numdifftools.tests.test_nd_scipy module numdifftools.tests.test_numdifftools module numdifftools.tests.test_scripts module numdifftools.tests.test_step_generators module

O

odd transformation, [1] order (Derivative property) (Gradient property) (Hessdiag property) (Hessian property) (Jacobian property) (LogHessianRule property)

P

potential() (ClassicalHamiltonian method)

R

real (Bicomplex property) Residue (class in numdifftools.limits), [1] Richardson (class in numdifftools.core) (class in numdifftools.extrapolation), [1] Richardson extrapolation, [1], [2], [3] richardson() (in module numdifftools.fornberg)

richardson_demo() (in module numdifftools.extrapolation) richardson_parameter() (in module numdifftools.fornberg) richardson_step (LogRule property) rule() (LogRule method) (Richardson method), [1] run_hamiltonian() (in module numdifftools.tests.hamiltonian)

S

scale (MaxStepGenerator property) (MinStepGenerator property), [1] sec() (Bicomplex method) sech() (Bicomplex method) set_richardson_rule() (Derivative method) (Gradient method) (Hessdiag method) (Hessian method) (Jacobian method) setup_method() (TestExtrapolation method) (TestRichardson method) shape (Bicomplex property) sin() (Bicomplex method) sinh() (Bicomplex method)

size (Bicomplex property) sqrt() (Bicomplex method) step (Derivative property) (Gradient property) (Hessdiag property) (Hessian property) (Jacobian property) step_generator_function() (MaxStepGenerator method) (MinStepGenerator method), [1] step_nom (MaxStepGenerator property) (MinStepGenerator property), [1] step_ratio (CStepGenerator property) (MaxStepGenerator property) (MinStepGenerator property), [1]

T

tan() (Bicomplex method) tanh() (Bicomplex method) Taylor (class in numdifftools.fornberg) (class in numdifftools.nd_algopy) taylor() (in module numdifftools.fornberg) test__find_default_scale_run_all_benchmarks() (in module numdifftools.tests.test_scripts) test__min_step_generator_with_step_nom1() (in module numdifftools.tests.test_step_generators) test_add() (TestBicomplex static method) test_all_first_derivatives() (TestDerivative static method) test_all_second_derivatives() (TestDerivative static method) test_all_weights() (in module numdifftools.tests.test_fornberg) 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_max_step_generator() (in module numdifftools.tests.test_step_generators) 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_fd_derivative() (in module numdifftools.tests.test_fornberg) 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_gradient_fulloutput() (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() (in module numdifftools.tests.test_fornberg) test_high_order_derivative_cos() (TestDerivative static method), [1] test_infinite_functions() (TestDerivative method)

test_init() (TestBicomplex method) test_issue_25() (TestJacobian method) (TestJacobian static method), [1] test_issue_27a() (TestJacobian static method) test_issue_27b() (TestJacobian static method) test_issue_39() (TestGradient static method) test_jacobian_fulloutput() (TestJacobian static method) test_le() (TestBicomplex static method) test_low_order_derivative_on_example_functions() (in module numdifftools.tests.test_fornberg) test_lt() (TestBicomplex static method) test_max_step_generator_default_base_step() (in module numdifftools.tests.test_step_generators) test_max_step_generator_with_base_step01() (in module numdifftools.tests.test_step_generators) test_min_step_generator_default_base_step() (in module numdifftools.tests.test_step_generators) test_min_step_generator_with_base_step01() (in module numdifftools.tests.test_step_generators) test_min_step_generator_with_step_ratio4() (in module numdifftools.tests.test_step_generators) test_mod_c() (TestBicomplex static method) test_multiplication() (TestBicomplex static method) test_neg() (TestBicomplex method) test_norm() (TestBicomplex method) test_on_matrix_valued_function() (TestJacobian method) (TestJacobian static method), [1] test_on_scalar_function() (TestGradient static method), [1] (TestJacobian static method), [1], [2] test_on_vector_valued_function() (TestJacobian method), [1] (TestJacobian static method) test_order_step_combinations() (TestRichardson method) test_pow() (TestBicomplex static method) test_profile_numdifftools_main() (in module numdifftools.tests.test_scripts) test_profile_numdifftools_profile_hessian() (in module numdifftools.tests.test_scripts) test_rdivision() (TestBicomplex 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_gradient_and_hessian_benchmarks() (in module numdifftools.tests.test_scripts) test_run_hamiltonian() (TestHessian method), [1] test_scalar_to_vector() (TestJacobian static method), [1], [2] test_shape() (TestBicomplex method) test_sinx_div_x() (TestLimit method) test_sub() (TestBicomplex static method) test_subsref() (TestBicomplex static method) test_weights() (in module numdifftools.tests.test_fornberg) 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_nd_scipy) (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_nd_scipy) (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)

Z

z1 (Bicomplex attribute)

z2 (Bicomplex attribute)