numerical_methods Directory Reference

## Files

file | bisection_method.cpp
| Solve the equation \(f(x)=0\) using bisection method
file | brent_method_extrema.cpp
| Find real extrema of a univariate real function in a given interval using Brent's method.
file | durand_kerner_roots.cpp
| Compute all possible approximate roots of any given polynomial using Durand Kerner algorithm
file | false_position.cpp
| Solve the equation \(f(x)=0\) using false position method, also known as the Secant method.
file | gaussian_elimination.cpp
| Gaussian elimination method
file | golden_search_extrema.cpp
| Find extrema of a univariate real function in a given interval using golden section search algorithm.
file | lu_decompose.cpp
| LU decomposition of a square matrix
file | lu_decomposition.h [code]
| Functions associated with LU Decomposition of a square matrix.
file | newton_raphson_method.cpp
| Solve the equation \(f(x)=0\) using Newton-Raphson method for both real and complex solutions.
file | ode_forward_euler.cpp
| Solve a multivariable first order ordinary differential equation (ODEs) using forward Euler method
file | ode_midpoint_euler.cpp
| Solve a multivariable first order ordinary differential equation (ODEs) using midpoint Euler method
file | ode_semi_implicit_euler.cpp
| Solve a multivariable first order ordinary differential equation (ODEs) using semi implicit Euler method
file | qr_decompose.h [code]
| Library functions to compute QR decomposition of a given matrix.
file | qr_decomposition.cpp
| Program to compute the QR decomposition of a given matrix.
file | qr_eigen_values.cpp
| Compute real eigen values and eigen vectors of a symmetric matrix using QR decomposition method.
file | rungekutta.cpp
| Runge Kutta fourth order method implementation
file | successive_approximation.cpp
| Method of successive approximations using fixed-point iteration method.