We present a predictor{corrector non{interior path following algorithm for the monotone linear complementarity problem based on Chen{Harker{Kanzow{Smale smoothing techniques. Although the method is modeled on the interior point predictor{ corrector strategies, it is the rst instance of a non{interior point predictor{corrector algorithm. The algorithm is shown to be both globally linearly conver...

In this paper we propose new primal-dual interior point methods (IPMs) for P∗(κ) linear complementarity problems (LCPs) and analyze the iteration complexity of the algorithm. New search directions and proximity measures are defined based on a class of kernel functions, ψ(t) = t 2−1 2 − R t 1 e q “ 1 ξ −1 ” dξ, q ≥ 1. If a strictly feasible starting point is available and the parameter q = log „...

ReceiVed August 22, 1997 ReVised Manuscript ReceiVed December 8, 1997 Liquid-crystalline polymers (LCPs) constitute an important class of macromolecules with numerous applications as ultrastrong materials and nonlinear optical devices.1 A defining characteristic of these polymers is their ability to organize into aligned domains when molten or dissolved in suitable solvents and preserve this or...

BACKGROUND The cancer death rate escalated during 20th century. In South Korea, lung cancer is expected to contribute 12,736 deaths in men, the highest amount among all cancers. Several risk factors may increase the chance to acquiring lung cancer, with mostly related to exogenous compounds found in cigarette smoke and synthetic manufacturing materials. As the mortality rate of lung cancer incr...

On Earth, ice complexes are commonplace landscapes amidst the continuous permafrost of coastal or near-coastal plains in Arctic. Formed by freeze-thaw cycling water, complex features include: hummocky (thermokarstic) terrain, inflated deflated presence absence excess ice; thermokarst lakes (i.e. that has thawed and pooled); alases basins emptied water); and, ice-wedge polygons, often characteri...

This study aimed to investigate the effects of optical properties lithium disilicate glass ceramics and light-curing protocols (LCP) on curing performance light-cured resin cement. Lithium glass-ceramics with different were sectioned produce ceramic specimens 0.8 mm thickness. Irradiance through was measured by a radiometer. Light transmittance assessed using UV/Vis spectrophotometer. The cemen...

Abstract We generalize a primal-dual interior-point algorithm (IPA) proposed recently in (Illés T, Rigó PR, Török R Unified approach of algorithms for new class AET functions, 2022) to $$P_*(\kappa )$$ P ∗ ( κ <m...

The linear complementarity problem (LCP) is a useful framework for linear and convex programming and has also many direct applications, e.g. in control theory, nance, algorithms and game theory. In this thesis we consider the P-Matrix linear complementarity problem (P-LCP) for which it is known that there exist a unique solution for every problem instance. However it is not known how to nd the ...

In pan Pamir Plateau countries, Peste des petits ruminants (PPR) has brought huge losses to the livestock industry and threaten endangered wildlife. unknown regions, revealing PPRV transmission among countries is premise of effective prevention control, therefore calls for quantified monitoring on disease communication countries. this paper, a MaxEnt model was built first time predict PPR risk ...

In recent work (Pandit and Kulkarni [Discrete Applied Mathematics, 244 (2018), pp. 155–169]), the independence number of a graph was characterized as maximum \(\ell _1\) norm solutions Linear Complementarity Problem (LCP) defined suitably using parameters graph. Solutions this LCP have another relation, namely, that they corresponded to Nash equilibria public goods game. Thus \( \ell _1 \) has ...