In the setting of Hilbert spaces, we show that a hybrid steepest-descent algorithm converges strongly to a solution of a convex minimization problem over the fixed point set of a finite family of ...

Mathematics of Operations Research, Vol. 12, No. 4 (Nov., 1987), pp. 678-699 (22 pages) We consider generalizations of the steepest descent algorithm for solving asymmetric systems of equations. We ...

BOOTH1 uses two formulæ as a stá rting point of the method of steepest descents, applied to X-ray crystal structure analysis : ...

Steepest descent, successive quadratic, and Newton-type methods are of these types. Direct search: By contrast, heuristic, or direct search methods, use improvement in trial solutions to guide the ...

A lthough the Fourier method of synthesis has enjoyed a long and justified supremacy in the armoury of techniques for X-ray structure analysis, the time is rapidly approaching when its use will be ...

Gradient descent searches for the function’s local minimum by looking for the direction of steepest ascent at a given location and searching downhill away from it.

Gradient descent searches for the function’s local minimum by looking for the direction of steepest ascent at a given location and searching downhill away from it. The slope of the landscape is called ...