Sentence examples for proximity function from inspiring English sources

Therefore, the proximity function satisfies the equality.

This defines a new search direction and proximity function.

In the following we compute upper bound of proximity function during an outer iteration.

Define the proximity function f(x) = frac{1}{2}Vert Ax-P_{Q}Ax Vert ^{2}.

Now, we show that our proximity function Ψ with our default step size α ¯ is decreasing.

Proposition 3.1 Let Ψ be the proximity function defined in (13).

Secondly, we define the spatial contexts of IGCs as proximity functions of their representational components, namely cross-sections and the skeleton with respect to the hands.

We calculate an upper bound for difference between proximity functions after one step in inner iterations and then determine our default step size for search directions.

In this paper, we study the functional system on q-difference equations, our results can give estimates on the proximity functions and the counting functions of the solutions of q-difference equations system.

Using self-regular proximity functions instead of a classical logarithmic barrier function, Peng et al. [3 5] improved the complexity of large-update IPMs for the LO problem, the SDO problem, and the SOCO problem.

In order to prove our theorem, we need the following Lemmas: As far as Clunie type lemmas are concerned, same conclusions hold as long as the proximity functions of the coefficients α z) satisfy m r, α) = S r, f ).