In this paper, we propose a self-adaptive derivative-free projection method for solving large-scale nonlinear monotone equations with convex constraints. The search direction satisfies the sufficient descent property, which is independent of any line search. Based on Lipschitz continuity and monotonicity proposed shown to be globally convergent. Moreover, numerical results are reported show eff...

The hybrid use of exact and heuristic derivative-free methods for global unconstrained optimization problems is presented. Many real-world problems are modeled by computationally expensive functions, such as problems in simulationbased design of complex engineering systems. Objective-function values are often provided by systems of partial differential equations, solved by computationally expen...

This paper investigates two chattering-free finite-time controllers for the rigid spacecraft attitude tracking control problem considering modeling uncertainty and external disturbance. First, the basic controller is designed utilizing integral terminal sliding mode surface (ITSMS) with prior knowledge of the total system uncertainty consisting of modeling uncertainty and external disturbance. ...

This paper extends the derivative-free descent method [18] for the nonlinear complementarity problem to the symmetric cone complementarity problem (SCCP). The algorithm is based on the unconstrained implicit Lagrangian reformulation of the SCCP, but uses a convex combination of the negative partial gradients of the implicit Lagrangian function ψα, i.e. the vector of the form −θ∇xψα −(1 −θ)∇yψα ...

A logarithmic residue is a contour integral of the (left or right) logarithmic derivative of an analytic Banach algebra valued function. Logarithmic residues are intimately related to sums of idempotents. The present paper is concerned with logarithmic residues and sums of idempotents in the Banach algebra generated by the compact operators and the identity in the case when the underlying Banac...

Solid lipid nanoparticles (SLNs) comprise a versatile drug delivery system that has been developed for the treatment of a variety of diseases. The present study will investigate the feasibility of entrapping an active doxorubicin prodrug (a squalenoyl-derivative) in SLNs. The doxorubicin derivative-loaded SLNs are spherically shaped, have a mean diameter of 300-400 nm and show 85% w/w drug entr...

The construction of derivative-free iterative methods for approximating multiple roots a nonlinear equation is relatively new line research. This paper presents novel family one-parameter second-order techniques. Our schemes are free from derivatives and have been designed to find (m≥2). techniques involve the weight function approach. convergence analysis presented in main theorem. In addition...

We introduce a new class of mappings, called duplomonotone, which is strictly broader than the class ofmonotonemappings.We study some of themain properties of duplomonotone functions and provide various examples, including nonlinear duplomonotone functions arising from the study of systems of biochemical reactions. Finally,we present three variations of a derivative-free line search algorithm f...