method of successive iteration
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Successive over-relaxation — (SOR) is a numerical method used to speed up convergence of the Gauss–Seidel method for solving a linear system of equations. A similar method can be used for any slowly converging iterative process. It was devised simultaneously by David M.… … Wikipedia
Successive parabolic interpolation — is a technique for finding the extremum (minimum or maximum) of a continuous unimodal function by successively fitting parabolas (polynomials of degree two) to the function at three unique points, and at each iteration replacing the oldest point… … Wikipedia
Chebyshev iteration — In numerical linear algebra, the Chebyshev iteration is an iterative method for determining the solutions of a system of linear equations. The method is named after Russian mathematician Pafnuty Chebyshev. Chebyshev iteration avoids the… … Wikipedia
Newton's method — In numerical analysis, Newton s method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real valued function. The… … Wikipedia
Brent's method — In numerical analysis, Brent s method is a complicated but popular root finding algorithm combining the bisection method, the secant method and inverse quadratic interpolation. It has the reliability of bisection but it can be as quick as some of … Wikipedia
Nonlinear conjugate gradient method — In numerical optimization, the nonlinear conjugate gradient method generalizes the conjugate gradient method to nonlinear optimization. For a quadratic function : The minimum of f is obtained when the gradient is 0: . Whereas linear conjugate… … Wikipedia
Newton's method in optimization — A comparison of gradient descent (green) and Newton s method (red) for minimizing a function (with small step sizes). Newton s method uses curvature information to take a more direct route. In mathematics, Newton s method is an iterative method… … Wikipedia
Méthode de surrelaxation successive — En analyse numérique, la méthode de surrelaxation successive est une variante de la méthode de Gauss Seidel pour résoudre un système d équations linéaires. La convergence de cet algorithme est généralement plus rapide. Une approche similaire peut … Wikipédia en Français
Gauss–Seidel method — The Gauss–Seidel method is a technique used to solve a linear system of equations. The method is named after the German mathematicians Carl Friedrich Gauss and Philipp Ludwig von Seidel. The method is an improved version of the Jacobi method. It… … Wikipedia
Chakravala method — The chakravala method (Hindi: चक्रवाल विधि) is a cyclic algorithm to solve indeterminate quadratic equations, including Pell s equation. It is commonly attributed to Bhāskara II, (c. 1114 – 1185 CE)[1][2] although some attribute it to Jayadeva (c … Wikipedia
Penalty method — Penalty methods are a certain class of algorithms to solve constraint optimization problems. The penalty method replaces a constraint optimization problem by a series of unconstrained problems whose solutions must converge to the solution of the… … Wikipedia
