In this paper, a new hybrid conjugate gradient algorithm is proposed for solving unconstrained optimization problems. This new method can generate sufficient descent directions unrelated to any line search. Moreover, the global convergence of the proposed method is proved under the Wolfe line search. Numerical experiments are also presented to show the efficiency of the proposed algorithm, espe...

We argue that the geometric intuition of GeoPG is still clear. Note that we are still constructing two balls that contain x∗ and shrink at the same absolute amount. In GeoPG, since we assume that the smooth function f is strongly convex, we naturally have one ball that contains x∗, and this ball is related to the proximal gradient Gt, instead of the gradient due to the presence of the nonsmooth...

we present a modified version of the infeasible-interior- we present a modified version of the infeasible-interior-point algorithm for monotone linear complementary problems introduced by mansouri et al. (nonlinear anal. real world appl. 12(2011) 545--561). each main step of the algorithm consists of a feasibility step and several centering steps. we use a different feasibility step, which targ...

Originally hypothesized to explain the absence of $C\phantom{\rule{0}{0ex}}P$ violation in strong interactions, axion has emerged as a candidate constituent dark matter. This review guides reader through search methods for QCD well new kinds particles with axionlike properties. For each case, physics method, signatures, and background are discussed depth. A must-have addition quiver hunters.