In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose...

In numerical linear algebra, the conjugate gradient method is an iterative method for numerically solving the linear system A x = b {\displaystyle {\boldsymbol...

gradient descent Coordinate descent Frank–Wolfe algorithm Landweber iteration Random coordinate descent Conjugate gradient method Derivation of the conjugate...

In numerical optimization, the nonlinear conjugate gradient method generalizes the conjugate gradient method to nonlinear optimization. For a quadratic...

Policy gradient methods are a class of reinforcement learning algorithms. Policy gradient methods are a sub-class of policy optimization methods. Unlike...

Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate...

other variants such as the conjugate gradient squared method (CGS). It is a Krylov subspace method. Unlike the original BiCG method, it doesn't require multiplication...

The theory of stationary iterative methods was solidly established with the work of D.M. Young starting in the 1950s. The conjugate gradient method was...

competitively with conjugate gradient methods for many problems. Not depending on the objective itself, it can also solve some systems of linear and non-linear...

Polyak, subgradient–projection methods are similar to conjugate–gradient methods. Bundle method of descent: An iterative method for small–medium-sized problems...

method very similar to the much more popular conjugate gradient method, with similar construction and convergence properties. This method is used to solve linear...

iteration Conjugate gradient method (CG) — assumes that the matrix is positive definite Derivation of the conjugate gradient method Nonlinear conjugate gradient...

Proximal gradient (forward backward splitting) methods for learning is an area of research in optimization and statistical learning theory which studies...

inverting the matrix.) In addition, L {\displaystyle L} is symmetric and positive definite, so a technique such as the conjugate gradient method is favored...

that the standard conjugate gradient (CG) iterative methods can still be used. Such imposed SPD constraints may complicate the construction of the preconditioner...

Bisection method Euler method Fast inverse square root Fisher scoring Gradient descent Integer square root Kantorovich theorem Laguerre's method Methods of computing...

better, the QR factorization of J r {\displaystyle \mathbf {J_{r}} } . For large systems, an iterative method, such as the conjugate gradient method, may...

in that case the techniques of linear programming are applicable. Adjoint equation Newton's method Steepest descent Conjugate gradient Sequential quadratic...

many proximal gradient methods can be interpreted as a gradient descent method over M f {\displaystyle M_{f}} . The Moreau envelope of a proper lower...

inversion and the implementation of the conjugate gradient method by Petravic and Kuo-Petravic. Subsequently, many other conjugate gradient methods have been...

matrices with a large number of unknowns, iterative methods such as conjugate gradient method can be used for acceleration. The actual field distributions...

simplex method) is a popular algorithm for linear programming.[failed verification] The name of the algorithm is derived from the concept of a simplex...

the related Davidon–Fletcher–Powell method, BFGS determines the descent direction by preconditioning the gradient with curvature information. It does...

in the finite element method. Cengage Learning. ISBN 978-0-495-66825-1. Duderstadt, James J.; Martin, William R. (1979). "Chapter 4:The derivation of continuum...

Preconditioned Conjugate Gradient (LOBPCG) method. Subsequent principal components can be computed one-by-one via deflation or simultaneously as a block. In the former...

parameters, the steepest descent iterations, with shift-cutting, follow a slow, zig-zag trajectory towards the minimum. Conjugate gradient search. This...

Preconditioned Conjugate Gradient (LOBPCG) is a matrix-free method for finding the largest (or smallest) eigenvalues and the corresponding eigenvectors of a symmetric...

Michael J. D. Powell. Similarly to the Levenberg–Marquardt algorithm, it combines the Gauss–Newton algorithm with gradient descent, but it uses an explicit...

systems of linear equations Biconjugate gradient method: solves systems of linear equations Conjugate gradient: an algorithm for the numerical solution of particular...

between the desired and the actual signal). It is a stochastic gradient descent method in that the filter is only adapted based on the error at the current...