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NumericalMethods

An implementation in C of the numerical methods from S.D. Conte's "Elementary Numerical Analysis" (1980 Brazilian version published by "Editora Globo"). All source code is located in the /source folder.

THIS PROJECT IS UNDER DEVELOPMENT AND HAS NOT BEEN THOROUGHLY TESTED YET

Everything seems to be working so far though

Nonlinear Equation Solvers

The following is a list of the iterative root finding methods implemented for the purpose of solving an equation of the form equation:

  • Bisection Method
  • Linear Iteration
  • Aitken's Δ squared process
  • Newton's Method
  • Secant Method
  • False Position Method (Regula Falsi)
  • Müller's Process

Nonlinear Equation System Solvers

The following is a list of the iterative methods implemented for the purpose of solving a system of the form equation

  • Linear Iteration
  • Aitken's Δ squared process

The following methods are planned to be added in the future one matrix methods are implemented:

  • Newton's Method
  • Accelerated Pseudo-Newton's Method (Algorithm 2.17)

Interpolation Methods

The following is a list of the interpolation methods implemented:

  • Lagrange Polynomials
  • Aitken Interpolation
  • Ascending Newton's Method of Finite Differences
  • Descending Newton's Method of Finite Differences
  • Stirling's Formula
  • Everett's Formula

About

A collection of numerical methods taken from the Brazilian 1980 edition of S.D. Conte's "Elements of Numerical Analysis". (UNDER DEVELOPMENT)

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