Abstract In this paper, mixed-integer nonsmooth constrained optimization problems are considered, where objective/constraint functions available only as the output of a black-box zeroth-order oracle that does not provide derivative information. A new derivative-free linesearch-based algorithmic framework is proposed to suitably handle those problems. First, scheme for bound combines dense seque...

This paper introduces an efficient modified derivative-free method for bound constrained optimization problems. It is based on the coordinate search method. During the running of the algorithm, it incorporates the progressive obtained local information into the current iteration. Actually, after we find two different suitable descent directions, we introduce the composite expansion step. By doi...

Abstract The distribution of the contact pressure occurring under edge a snowboard during carved turn is key factor influencing riding behaviour. These interface loads are determined by structural design, and in particular sidecut geometry line. In this study, following inverse problem was set investigation: if certain wished, how can corresponding initial be determined? A optimization strategy...

In this paper, two different approaches to solve underdetermined nonlinear system of equations are proposed. In one of them, the derivative-free method defined by La Cruz, Martínez and Raydan for solving square nonlinear systems is modified and extended to cope with the underdetermined case. The other approach is a Quasi-Newton method that uses the Broyden update formula and the globalized line...

We present another simple way of deriving several iterative methods for solving nonlinear equations numerically. The presented approach of deriving these methods is based on exponentially fitted osculating straight line. These methods are the modifications of Newton’s method. Also, we obtain well-known methods as special cases, for example, Halley’s method, super-Halley method, Ostrowski’s squa...

In the current project we focused on the synthesis of 4-Substituted-2-p-tolylthiazole derivatives. Cytotoxicity of synthesized compounds were evaluated against T47D breast cancer cell line and also all of the final compounds 3−7 were docked into the active site of c-Src and erb tyrosine kinases. Compound 4 was the most potent derivative in cytotoxicity assay (IC50 = 2.5 μg/mL) and it was also t...