Index

A

A (joby_m_anthony_iii.numerical_methods.EigenValues attribute) (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute)

Aug (joby_m_anthony_iii.numerical_methods.SystemOfEquations attribute)

B

b (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute) backward_euler() (joby_m_anthony_iii.numerical_methods.IVP method), [1]

best_omega (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute) bisection() (joby_m_anthony_iii.numerical_methods.SingleVariableIteration method), [1] BVP (class in joby_m_anthony_iii.numerical_methods)

C

C (joby_m_anthony_iii.numerical_methods.SystemOfEquations attribute) clamped() (joby_m_anthony_iii.numerical_methods.CubicSpline method), [1] condition_number() (in module joby_m_anthony_iii.numerical_methods)

conjugate_gradient() (joby_m_anthony_iii.numerical_methods.SystemOfEquations method), [1] crank_nicholson() (joby_m_anthony_iii.numerical_methods.IVP method) CubicSpline (class in joby_m_anthony_iii.numerical_methods)

D

Derivative (class in joby_m_anthony_iii.numerical_methods) derivatives (joby_m_anthony_iii.numerical_methods.BVP attribute)

diagonality() (in module joby_m_anthony_iii.numerical_methods) domain (joby_m_anthony_iii.numerical_methods.BVP attribute)

E

eigen_values (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute) eigen_values() (in module joby_m_anthony_iii.numerical_methods)

EigenValues (class in joby_m_anthony_iii.numerical_methods) endpoint() (joby_m_anthony_iii.numerical_methods.Derivative method), [1]

F

false_position() (joby_m_anthony_iii.numerical_methods.SingleVariableIteration method), [1] find_k() (joby_m_anthony_iii.numerical_methods.SingleVariableIteration method), [1] find_omega() (joby_m_anthony_iii.numerical_methods.MultiVariableIteration method), [1] finite_difference_method() (joby_m_anthony_iii.numerical_methods.BVP method), [1] fixed_point() (joby_m_anthony_iii.numerical_methods.SingleVariableIteration method), [1]

forward_euler() (joby_m_anthony_iii.numerical_methods.IVP method), [1] function (joby_m_anthony_iii.numerical_methods.BVP attribute) (joby_m_anthony_iii.numerical_methods.IVP attribute) (joby_m_anthony_iii.numerical_methods.SingleVariableIteration attribute) function_slope (joby_m_anthony_iii.numerical_methods.SingleVariableIteration attribute) (joby_m_anthony_iii.numerical_methods.SingleVariableIteration.self attribute)

G

gauss_seidel() (joby_m_anthony_iii.numerical_methods.MultiVariableIteration method), [1]

gaussian_elimination() (joby_m_anthony_iii.numerical_methods.SystemOfEquations method), [1] gaussian_legendre() (in module joby_m_anthony_iii.numerical_methods)

H

h (joby_m_anthony_iii.numerical_methods.Derivative attribute)

hermite() (in module joby_m_anthony_iii.numerical_methods)

I

improved_euler() (joby_m_anthony_iii.numerical_methods.IVP method), [1] Integrate (class in joby_m_anthony_iii.numerical_methods) inverse_power_method() (joby_m_anthony_iii.numerical_methods.EigenValues method), [1]

is_positive_definite (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute) iter_guess (joby_m_anthony_iii.numerical_methods.SingleVariableIteration attribute) iterations (joby_m_anthony_iii.numerical_methods.BVP attribute) IVP (class in joby_m_anthony_iii.numerical_methods)

J

jacobi() (joby_m_anthony_iii.numerical_methods.MultiVariableIteration method), [1] joby_m_anthony_iii module

joby_m_anthony_iii.numerical_methods module

L

l_infinity() (joby_m_anthony_iii.numerical_methods.Norm method), [1] l_two() (joby_m_anthony_iii.numerical_methods.Norm method) lagrange() (in module joby_m_anthony_iii.numerical_methods)

LeastSquares (class in joby_m_anthony_iii.numerical_methods) linear() (joby_m_anthony_iii.numerical_methods.LeastSquares method) linear_interpolation() (in module joby_m_anthony_iii.numerical_methods) linear_shooting_method() (joby_m_anthony_iii.numerical_methods.BVP method), [1]

M

make_array() (in module joby_m_anthony_iii.numerical_methods) max_iter (joby_m_anthony_iii.numerical_methods.EigenValues attribute) (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute) (joby_m_anthony_iii.numerical_methods.SingleVariableIteration attribute) (joby_m_anthony_iii.numerical_methods.SystemOfEquations attribute) max_iterations() (joby_m_anthony_iii.numerical_methods.SingleVariableIteration method), [1]

midpoint() (joby_m_anthony_iii.numerical_methods.Derivative method), [1] modified_euler() (joby_m_anthony_iii.numerical_methods.IVP method) module joby_m_anthony_iii joby_m_anthony_iii.numerical_methods MultiVariableIteration (class in joby_m_anthony_iii.numerical_methods)

N

natural() (joby_m_anthony_iii.numerical_methods.CubicSpline method), [1] newton_difference() (in module joby_m_anthony_iii.numerical_methods) newton_raphson() (joby_m_anthony_iii.numerical_methods.MultiVariableIteration method), [1] (joby_m_anthony_iii.numerical_methods.SingleVariableIteration method), [1]

Norm (class in joby_m_anthony_iii.numerical_methods) norm (joby_m_anthony_iii.numerical_methods.Norm attribute), [1] norm_type (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute)

P

point_type (joby_m_anthony_iii.numerical_methods.Derivative attribute) positive_definite() (in module joby_m_anthony_iii.numerical_methods)

power (joby_m_anthony_iii.numerical_methods.LeastSquares attribute) power() (joby_m_anthony_iii.numerical_methods.LeastSquares method) power_method() (joby_m_anthony_iii.numerical_methods.EigenValues method), [1]

Q

qr_algorithm() (joby_m_anthony_iii.numerical_methods.EigenValues method), [1]

R

range (joby_m_anthony_iii.numerical_methods.BVP attribute)

richard_extrapolation() (in module joby_m_anthony_iii.numerical_methods) runge_kutta() (joby_m_anthony_iii.numerical_methods.IVP method), [1]

S

scheme (joby_m_anthony_iii.numerical_methods.Integrate attribute) secant_method() (joby_m_anthony_iii.numerical_methods.SingleVariableIteration method), [1] simpson() (joby_m_anthony_iii.numerical_methods.Integrate method), [1] SingleVariableIteration (class in joby_m_anthony_iii.numerical_methods) spectral_radius() (in module joby_m_anthony_iii.numerical_methods) steepest_descent() (joby_m_anthony_iii.numerical_methods.SystemOfEquations method), [1]

step_size (joby_m_anthony_iii.numerical_methods.BVP attribute), [1] (joby_m_anthony_iii.numerical_methods.IVP attribute), [1], [2], [3], [4], [5], [6] steps (joby_m_anthony_iii.numerical_methods.BVP attribute) (joby_m_anthony_iii.numerical_methods.IVP attribute) successive_relaxation() (joby_m_anthony_iii.numerical_methods.MultiVariableIteration method), [1] symmetry() (in module joby_m_anthony_iii.numerical_methods) SystemOfEquations (class in joby_m_anthony_iii.numerical_methods)

T

test (class in joby_m_anthony_iii.numerical_methods) test() (joby_m_anthony_iii.numerical_methods.test method) tol (joby_m_anthony_iii.numerical_methods.EigenValues attribute) (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute) (joby_m_anthony_iii.numerical_methods.SingleVariableIteration attribute) (joby_m_anthony_iii.numerical_methods.SystemOfEquations attribute)

trapezoidal() (joby_m_anthony_iii.numerical_methods.Integrate method), [1] (joby_m_anthony_iii.numerical_methods.IVP method), [1] tridiagonality() (in module joby_m_anthony_iii.numerical_methods)

U

user_omega (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute)

V

variable (joby_m_anthony_iii.numerical_methods.CubicSpline attribute) (joby_m_anthony_iii.numerical_methods.SingleVariableIteration attribute)

variables (joby_m_anthony_iii.numerical_methods.BVP attribute) (joby_m_anthony_iii.numerical_methods.IVP attribute) vector (joby_m_anthony_iii.numerical_methods.EigenValues attribute)

X

x (joby_m_anthony_iii.numerical_methods.EigenValues attribute) (joby_m_anthony_iii.numerical_methods.MultiVariableIteration attribute) (joby_m_anthony_iii.numerical_methods.SystemOfEquations attribute), [1]