In this paper‎, ‎two extended three-term conjugate gradient methods based on the Liu-Storey ({tt LS})‎ ‎conjugate gradient method are presented to solve unconstrained optimization problems‎. ‎A remarkable property of the proposed methods is that the search direction always satisfies‎ ‎the sufficient descent condition independent of line search method‎, ‎based on eigenvalue analysis‎. ‎The globa...

It is well-known [D. Carlson, T. Markham, Schur complements of diagonally dominant matrices, Czech. Math. J. 29 (104) (1979) 246–251, [1]] that the Schur complement of a strictly diagonally dominant matrix is strictly diagonally dominant. Also, if a matrix is an H-matrix, then its Schur complement is an H-matrix, too [J. Liu, Y. Huang, Some properties on Schur complements of H-matrices and diag...

Facebook is the most dominant social networking site in colleges right now. According to a recent study done by OnlineEducation.net on college students' use of social media in the U.S., 96 percent of college students use Facebook. In addition, 75 percent of college students report that they want to collaborate online with each other via Facebook (Andrew, 2011). Because of the popularity of Face...

fundamentally from its desktop or Internet counterparts. Embedded computing is not simply computation on small devices. In most control applications, for example, embedded software engages the physical world. It reacts to physical and user-interaction events, performs computation on limited and competing resources, and produces results that further impact the environment. Of necessity, it acqui...

We introduce a new class of nonlinear mappings, the class of generalized strongly successively Φhemicontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme with errors to their fixed points. This class of nonlinear mappings is more general than those defined by several authors. In particular, the class of generalized strongly successively Φhemicont...

We study a model of two-round, …rst-price, sealed bid auctions with two bidders and two identical items. We assume that both bidders want to purchase both items and the bidder’s valuation for the object remains the same in both rounds. After the conclusion of the …rst round, the winner and the winning bid are publicly announced. The bidders use this information to update their beliefs about the...

The prevalence of Toxoplasma gondii infection in free-range chickens in Jilin province, northeastern China was investigated. A total of 1095 serum samples were collected from nine administrative regions from July to October, 2012, and antibodies to T. gondii were examined by an in-house enzyme-linked immunosorbent assay (ELISA) using Toxoplasma lysate antigen (TLA). The detection results were c...