Iterative method

In numerical Analysis, a iterative method is a method which solves a problem (like an equation or a system of equations) by finding a succession of Approximation S while starting with an initial value. This approach is in contrast with the direct Méthode which solve the problems in once (as to solve a linear system Ax = B by calculating the matrix reverses has ). The methods iterative are often used for the problems containing a great number of variables where direct methods would be too expensive and even sometimes impossible to implement.

Examples

  • Résolution of equation F (X) = 0

    • method of the Point fixes
    • Méthode of Newton
    • Méthode of the secant
    • Méthode of the parts proportional
  • Résolution of a linear Système
    • Méthode of Gauss-Seidel
    • Méthode SOR
  • Calcul of eigenvalues
    • Méthode of the power
    • Méthode of Jacobi

Method of Newton

One of the iterative methods most known is the Méthode of Newton.

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