Conjugate Gradient

См. также в других словарях:

• Conjugate gradient method — A comparison of the convergence of gradient descent with optimal step size (in green) and conjugate vector (in red) for minimizing a quadratic function associated with a given linear system. Conjugate gradient, assuming exact arithmetic,… …   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

• Derivation of the conjugate gradient method — In numerical linear algebra, the conjugate gradient method is an iterative method for numerically solving the linear system where is symmetric positive definite. The conjugate gradient method can be derived from several different perspectives,… …   Wikipedia

• Preconditioned conjugate gradient method — The conjugate gradient method is a numerical algorithm that solves a system of linear equations:A x= b.,where A is symmetric [positive definite] . If the matrix A is ill conditioned, i.e. it has a large condition number kappa(A), it is often… …   Wikipedia

• Conjugate residual method — The conjugate residual method is an iterative numeric method used for solving systems of linear equations. It s a Krylov subspace method very similar to the much more popular conjugate gradient method, with similar construction and convergence… …   Wikipedia

• Gradient descent — For the analytical method called steepest descent see Method of steepest descent. Gradient descent is an optimization algorithm. To find a local minimum of a function using gradient descent, one takes steps proportional to the negative of the… …   Wikipedia

• Méthode du gradient conjugué — En analyse numérique, la méthode du gradient conjugué est un algorithme pour résoudre des systèmes d équations linéaires dont la matrice est définie positive (et par conséquent symétrique). Cette méthode, imaginée en 1950 simultanément par… …   Wikipédia en Français

• Biconjugate gradient method — In mathematics, more specifically in numerical analysis, the biconjugate gradient method is an algorithm to solve systems of linear equations :A x= b.,Unlike the conjugate gradient method, this algorithm does not require the matrix A to be self… …   Wikipedia

• COCG — Conjugate Orthogonal Conjugate Gradient (Academic & Science » Mathematics) …   Abbreviations dictionary

• Energy minimization — (energy optimization) methods are common techniques to compute the equilibrium configuration of molecules. The basic idea is that a stable state of a molecular system should correspond to a local minimum of their potential energy. This kind of… …   Wikipedia

• Mathematical optimization — For other uses, see Optimization (disambiguation). The maximum of a paraboloid (red dot) In mathematics, computational science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) refers to… …   Wikipedia