In the note we consider an iterative generalisation of the rejection sampling method. In high energy physics, this sampling is frequently used for event generation, i.e. preparation of phase space points distributed according to a matrix element squared |M |2 for a scattering process. In many realistic cases |M |2 is a complicated multi-dimensional function, so, the standard von Neumann procedu...

Motivated by recent research on the iterative approach proposed for smoothed particle hydrodynamics (ISPH) method, some ideas to improve process are introduced. The standard procedure is enhanced iterating residuals preserving matrix-free nature of process. method appealing providing reasonable results with disordered data distribution too and no kernel variations needed in approximation. This ...

Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence  ${alpha_{n}}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={alpha}_{n}{x}_{n}+(1-{alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize thei...