We propose two positive parameters based on the choice of Birgin and Martínez search direction. Using classical choices Barzilai-Borwein parameters, were derived by minimizing distance between relative matrix corresponding to direction scaled memory-less Broyden–Fletcher–Goldfarb-Shanno (BFGS) in Frobenius norm. Moreover, resulting is descent independent any line condition. established global c...

We present a model-based derivative-free method for optimization subject to general convex constraints, which we assume are unrelaxable and accessed only through projection operator that is cheap evaluate. prove global convergence worst-case complexity of $O(\epsilon^{-2})$ iterations objective evaluations nonconvex functions, matching results the unconstrained case. introduce new, weaker requi...

This article considers a box-constrained global optimization problem for Lipschitz-continuous functions with an unknown Lipschitz constant. Motivated by the famous DIRECT (DIviding RECTangles), new HALRECT (HALving RECTangles) algorithm is introduced. A deterministic approach combines halving (bisection) multi-point sampling scheme in contrast to trisection and midpoint used most existing DIREC...

We present the ghost-free infinite-derivative extensions of Spherically-Reduced Gravity (SRG) and Callan-Giddings-Harvey-Strominger (CGHS) theories in two space-time dimensions. For case SRG, we specify Schwarzschild-type gauge diagonalise quadratic action for field perturbations after taking background fields to be those flat-space solution with a linear dilaton. Using obtained diagonalisation...

apoptosis, or programmed cell death, is an essential physiological process that plays a critical role in development and tissue homeostasis. caspases, a family of cysteine-dependent aspartate-directed proteases, play a critical role in the initiation and execution of apoptosis. in this study, cytotoxicity and apoptogenic effect of 2-phenyl 4-carboxamide derivatives were evaluated in sknmc (huma...