‎A full Nesterov-Todd (NT) step infeasible interior-point algorithm‎ ‎is proposed for solving monotone linear complementarity problems‎ ‎over symmetric cones by using Euclidean Jordan algebra‎. ‎Two types of‎ ‎full NT-steps are used‎, ‎feasibility steps and centering steps‎. ‎The‎ ‎algorithm starts from strictly feasible iterates of a perturbed‎ ‎problem‎, ‎and, using the central path and feasi...

Three-dimensional information perception from point clouds is of vital importance for improving the ability machines to understand world, especially autonomous driving and unmanned aerial vehicles. Data annotation one most challenging costly tasks. In this paper, we propose a closed-loop virtual–real interactive cloud generation model-upgrading framework called Parallel Point Clouds (PPCs). To ...

A discrete time multitype (p-type) branching random walk on the real line R is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.

collapse of the soviet :union: is considered as the most significant development happened in the last decades of the previous century. transformation of power relations and balance of forces at regional level as well as activation of transregional and particularly regional powers to maintain their presence and extend their influence over southern soviet :union: could be mentioned as consequence...

SUMMARY We develop a third order approximation for the distribution function of an asymptotic density function on the real line with a scalar parameter; a computer implementation is available on the web. The derivation makes use of integration that is obtained by symbolic computer algebra. In applications, information of various kinds may be available concerning a density function and its normi...

Abstract We consider the problem of counting lattice points contained in domains $$\mathbb {R}^d$$ R d defined by products linear forms. For $$d \ge 9$$ ≥ 9 we show that normalized discrepancies these problems sat...

The purpose of this paper is to derive quadrature estimates on compact, homogenous manifolds embedded in Euclidean spaces, via energy functionals associated with a class of group-invariant kernels which are generalizations of zonal kernels on the spheres or radial kernels in euclidean spaces. Our results apply, in particular, to weighted Riesz kernels defined on spheres and certain projective s...