Given a symmetric and positive (semi)definite n-by-n matrix M and a vector, in this paper, we consider the matrix splitting method for solving the second-order cone linear complementarity problem (SOCLCP). The matrix splitting method is among the most widely used approaches for large scale and sparse classical linear complementarity problems (LCP), and its linear convergence is proved by [Luo a...

In this paper, we first show that the second-order cone linear complementarity problem (SOCLCP) can be solved by finding a positive zero s∗ ∈ R of a particular rational function h(s), and we then propose a Krylov subspace method to reduce h(s) to h (s) as in the model reduction. The zero s∗ of h(s) can be accurately approximated by that of h (s) = 0, which itself can be cast as a small eigenval...

Bayesian Networks (BN) provides a robust probabilistic method of reasoning under uncertainty. They have been successfully applied in a variety of real-world tasks but they have received little attention in the area of load-frequency control (LFC). In practice, LFC systems use proportional-integral controllers. However since these controllers are designed using a linear model, the nonlinearities...

The isolation of a single layer of graphite, known today as graphene, not only demonstrated amazing new properties but also paved the way for a new class of materials often referred to as two-dimensional (2D) materials. Beyond graphene, other 2D materials include h-BN, transition metal dichalcogenides (TMDs), silicene, and germanene, to name a few. All tend to have exciting physical and chemica...

Denote by Prop(Bn,BN ) the space of proper holomorphic maps from the unit ball Bn ⊂ Cn into the unit ball BN ⊂ CN , Propk(B,B ) := Prop(Bn,BN ) ∩ Ck(Bn) and Rat(Bn,BN ) := Prop(Bn,BN ) ∩ {rational maps}. We recall that F,G ∈ Rat(Bn ,BN ) are said to be equivalent if there are automorphisms σ ∈ Aut(Bn) and τ ∈ Aut(BN ) such that F = τ ◦ G ◦ σ. In this paper, we study the classification problem f...

OBJECTIVE To review the evidence for the validity and utility of subtyping bulimia nervosa (BN) into a purging (BN-P) and a nonpurging subtype (BN-NP), and of distinguishing BN-NP from binge eating disorder (BED), by comparing course, complications, and treatment. METHOD A literature search of psychiatry databases for studies published in peer-reviewed journals that used the DSM-definitions o...

Band gap opening and modulating are critical in dictating the functionalities of single walled carbon nanotubes (SWCNTs) in a broad array of nano-devices. Using first-principles density functional theory calculations, a class of semiconducting armchair SWCNTs with a distinctive BN line defect are studied, showing a super capacity to open the band gap of (4, 4) SWCNT to as large as 0.86 eV, whil...

A graphene-like hexagonal aluminum nitride monolayer (g-AlN) is a promising nanoscale optoelectronic material. We investigate its mechanical stability and properties using first-principles plane-wave calculations based on density-functional theory, and find that it is mechanically stable under various strain directions and loads. g-AlN can sustain larger uniaxial and smaller biaxial strains tha...

To understand the genetic basis of pathways involved in the control of breathing, a large scale, high-throughput study using chromosomal substitution strains of rats is underway. Eight new consomic rat stains (SS-2(BN), SS-4(BN), SS-6(BN), SS-7(BN), SS-8(BN), SS-11(BN), SS-12(BN), SS-14(BN), SS-Y(BN)), containing one homozygous BN/NHsdMcwi (BN) chromosome on a background of SS/JrHsdMcwi (SS), w...