The Second-Order Cone Complementarity Problem (SOCCP) is a wide class of problems, which includes the Nonlinear Complementarity Problem (NCP) and the Second-Order Cone Programming Problem (SOCP). Recently, Fukushima, Luo and Tseng extended some merit functions and their smoothing functions for NCP to SOCCP. Moreover, they derived computable formulas for the Jacobians of the smoothing functions ...

The aim of this paper is to establish sufficient local conditions for the uniqueness of solutions to Nonlinear Complementarity Problems (NCP) and Mixed Complementarity Problems (MCP). Our main theorems state that for NCP and MCP defined by continuously differentiable functions, the solution is unique if the Jacobian of the function is a partial P-matrix at each solution. These theorems generali...

In this paper, we consider a neural network model for solving the nonlinear complementarity problem (NCP). The neural network is derived from an equivalent unconstrained minimization reformulation of the NCP, which is based on the generalized Fischer–Burmeister function /pða; bÞ 1⁄4 kða; bÞkp ðaþ bÞ. We establish the existence and the convergence of the trajectory of the neural network, and stu...

AIM Epicardial adipose tissue (EAT) has been suggested as a contributing factor for coronary atherosclerosis based on the previous cross-sectional studies and pathophysiologic background. However, a causal relationship between EAT and the development of non-calcified coronary plaque (NCP) has not been investigated. METHODS A total of 122 asymptomatic individuals (age, 56.0±7.6 years; male, 80...

PURPOSE To compare the accuracy of noncycloplegic photorefraction (NCP) with that of cycloplegic refraction (CR) for detecting refractive amblyopia risk factors (RARFs) and to determine cutoff points. METHODS In this diagnostic test study, right eyes of 185 children (aged 1 to 14 years) first underwent NCP using the PlusoptiX SO4 photoscreener followed by CR. Based on CR results, hyperopia (≥...

H2A.Bbd is an unusual histone variant whose sequence is only 48% conserved compared to major H2A. The major sequence differences are in the docking domain that tethers the H2A-H2B dimer to the (H3-H4)(2) tetramer; in addition, the C-terminal tail is absent in H2A.Bbd. We assembled nucleosomes in which H2A is replaced by H2A.Bbd (Bbd-NCP), and found that Bbd-NCP had a more relaxed structure in w...

[1] The sea-air biological O2 flux assessed from measurements of surface O2 supersaturation in excess of Ar supersaturation (“O2 bioflux”) is increasingly being used to constrain net community production (NCP) in the upper ocean mixed layer. In making these calculations, one generally assumes that NCP is at steady state, mixed layer depth is constant, and there is no O2 exchange across the base...

AIMS Coronary plaque characteristics are associated with ischaemia. Differences in plaque volumes and composition may explain the discordance between coronary stenosis severity and ischaemia. We evaluated the association between coronary stenosis severity, plaque characteristics, coronary computed tomography angiography (CTA)-derived fractional flow reserve (FFRCT), and lesion-specific ischaemi...

In Mendelian randomization (MR) studies, where genetic variants are used as proxy measures for an exposure trait of interest, obtaining adequate statistical power is frequently a concern due to the small amount of variation in a phenotypic trait that is typically explained by genetic variants. A range of power estimates based on simulations and specific parameters for two-stage least squares (2...

In this paper, we consider nonlinear complementarity problem on management equilibrium model (NCP). To solve the problem, we first establish an error bound estimation for the NCP via a new type of residual function. Based on this, the famous Levenberg-Marquardt (L-M) algorithm is employed for obtaining its solution, and we show that the L-M algorithm is quadratically convergent without nondegen...