numerical_methods Directory Reference

Files
	babylonian_method.cpp
	A babylonian method (BM) is an algorithm that computes the square root.
	bisection_method.cpp
	Solve the equation \(f(x)=0\) using bisection method
	brent_method_extrema.cpp
	Find real extrema of a univariate real function in a given interval using Brent's method.
	composite_simpson_rule.cpp
	Implementation of the Composite Simpson Rule for the approximation.
	durand_kerner_roots.cpp
	Compute all possible approximate roots of any given polynomial using Durand Kerner algorithm
	false_position.cpp
	Solve the equation \(f(x)=0\) using false position method, also known as the Secant method.
	fast_fourier_transform.cpp
	A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT).
	gaussian_elimination.cpp
	Gaussian elimination method
	golden_search_extrema.cpp
	Find extrema of a univariate real function in a given interval using golden section search algorithm.
	gram_schmidt.cpp
	Gram Schmidt Orthogonalisation Process
	inverse_fast_fourier_transform.cpp
	An inverse fast Fourier transform (IFFT) is an algorithm that computes the inverse fourier transform.
	lu_decompose.cpp
	LU decomposition of a square matrix
	lu_decomposition.h
	Functions associated with LU Decomposition of a square matrix.
	midpoint_integral_method.cpp
	A numerical method for easy approximation of integrals
	newton_raphson_method.cpp
	Solve the equation \(f(x)=0\) using Newton-Raphson method for both real and complex solutions.
	ode_forward_euler.cpp
	Solve a multivariable first order ordinary differential equation (ODEs) using forward Euler method
	ode_midpoint_euler.cpp
	Solve a multivariable first order ordinary differential equation (ODEs) using midpoint Euler method
	ode_semi_implicit_euler.cpp
	Solve a multivariable first order ordinary differential equation (ODEs) using semi implicit Euler method
	qr_decompose.h
	Library functions to compute QR decomposition of a given matrix.
	qr_decomposition.cpp
	Program to compute the QR decomposition of a given matrix.
	qr_eigen_values.cpp
	Compute real eigen values and eigen vectors of a symmetric matrix using QR decomposition method.
	rungekutta.cpp
	Runge Kutta fourth order method implementation
	successive_approximation.cpp
	Method of successive approximations using fixed-point iteration method.