Abstract We introduce a general framework for large-scale model-based derivative-free optimization based on iterative minimization within random subspaces. present probabilistic worst-case complexity analysis our method, where in particular we prove high-probability bounds the number of iterations before given optimality is achieved. This specialized to nonlinear least-squares problems, with Ga...

‎we describe the construction of second derivative general linear methods (sglms) of orders five and six‎. ‎we will aim for methods which are a--stable and have runge--kutta stability property‎. ‎some numerical results are given to show the efficiency of the constructed methods in solving stiff initial value problems‎.

in this study, different derivative spectrophotometric methods are proposed for the simultaneous determination of chlorpheniramine maleate (cp), phenylephrine hcl (pe) and phenylpropanolamine hcl (pp) in their ternary mixtures and in pharmaceutical dosage forms. spectra of single component and ternary mixtures of various concentrations and combinations from zero- to fourth-derivation were obtai...