gradient method


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gradient method

[′grād·ē·ənt ‚meth·əd]
(mathematics)
A finite iterative procedure for solving a system of n equations in n unknowns.
References in periodicals archive ?
With the application of the gradient method algorithm, in each iterative step for the cost function and the functions [g.
We briefly review the communication-avoiding conjugate gradient method (CA-CG) for solving Ax = b, where A is SPD and given any vector [x.
Second, the model was used to determine dynamic values of J for different conditions, enabling the gradient method described above to be tested.
The following iterative scheme is considered as conjugate gradient method (CGM) to estimate the unknown heat flux[20]
Chapter 6: Refinement of the Solution Using the Conjugate Gradient Method.
DANIEL, The conjugate gradient method for linear and nonlinear operator equations, SIAM J.
In this research, a new version of Response Surface Method has been developed by integrating mathematical programming and gradient method with RSM.
The linear systems in RN are solved by the Conjugate Gradient method and the structure of A and B is exploited in the computation of matrix-vector products.
We are concerned with the robustness of the preconditioned conjugate gradient method with regard to both the mesh size and jump coefficients.
Nesterov [35] and Beck and Teboulle [5] also introduced accelerated versions of the gradient method and proved that the objective functional decreases with rate O(1/[n.
In particular, the projected gradient method of Lin [25] is easy to implement and often significantly faster than the Lee-Seung algorithm.
The "MLP" software implements the back propagation algorithm as a training method by the means of two methods: the descent gradient method (GD) and the Levenberg-Marquardt method (LM).

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