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 ...

We develop a relaxed hybrid steepest-descent method which generates an iterative sequence {xn} from an arbitrary initial point x₀ ∊ H. The sequence {xn} is shown to converge in norm to the unique ...

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 ...

Why lava is so hard to stop Lava is a sluggish, viscous fluid that behaves somewhat like tar. It is subject to gravity, so like other fluids, it will flow downslope along a path of steepest descent.

Most recent efforts have focused instead on a third strategy: building dams or ditches in an attempt to divert the lava’s flow toward a different path of steepest descent, into a different ...