We present an inexact interior point proximal method to solve linearly constrained convex problems. In fact, we derive a primaldual algorithm to solve the KKT conditions of the optimization problem using a modified version of the rescaled proximal method. We also present a pure primal method. The proposed proximal method has as distinctive feature the possibility of allowing inexact inner steps...

This paper investigates bandwidth allocation and scheduling of networked control systems (NCSs) with nonlinear-programming techniques. The bandwidth utilization (BU) is defined in terms of sampling frequency. An exponential and a quadratic approximation are formulated to describe system performance versus the sampling frequencies. The optimal sampling frequencies are obtained by solving the app...

In this paper we study a broad class of structured nonlinear programming (SNLP) problems. In particular, we first establish the first-order optimality conditions for them. Then we propose sequential convex programming (SCP) methods for solving them in which each iteration is obtained by solving a convex programming problem. Under some suitable assumptions, we establish that any accumulation poi...

This paper introduces a software tool SYM-LS-SVM-SOLVER written in Maple to derive the dual system and the dual model representation of LS-SVM based models, symbolically. SYM-LS-SVM-SOLVER constructs the Lagrangian from the given objective function and list of constraints. Afterwards it obtains the KKT (Karush-Kuhn-Tucker) optimality conditions and finally formulates a linear system in terms of...

Akzidentelle Hypothermie ist ein unwillkürlicher Abfall der Körperkerntemperatur (KKT) < 35 °C. Vasokonstriktion und Muskelzittern sind wichtige gegenregulatorische Mechanismen; versagen diese, sinkt die KKT weiter ab, das sistiert, Patient verliert zunehmend Bewusstsein; Risiko eines Herz-Kreislauf-Stillstands steigt 32 °C an. Eine kann ganzjährig auch in geschlossenen Räumen auftreten. Die pr...

This paper is devoted to the so-called pessimistic version of bilevel programming programs. Minimization problems of this type are challenging to handle partly because the corresponding value functions are often merely upper (while not lower) semicontinuous. Employing advanced tools of variational analysis and generalized differentiation, we provide rather general frameworks ensuring the Lipsch...

Wireless sensor networks deployed in coal mines could help companies provide workers working in coal mines with more qualified working conditions. With the underground information collected by sensor nodes at hand, the underground working conditions could be evaluated more precisely. However, sensor nodes may tend to malfunction due to their limited energy supply. In this paper, we study the cr...

Support vector machines with ramp loss ( $$L_r$$ -SVM) have attracted considerable attention due to the robustness of loss. However, corresponding optimization problem is non-convex, and given Karush–Kuhn–Tucker (KKT) conditions are only first-order necessary conditions. To enrich optimality theory -SVM, we first introduce analyze proximal operator for loss, then establish a stronger condition:...

a mathematical model is presented in the present study to control‎ ‎the light propagation in an inhomogeneous media‎. ‎the method is ‎based on the identification of the optimal materials distribution‎ ‎in the media such that the trajectories of light rays follow the‎ ‎desired path‎. ‎the problem is formulated as a distributed parameter ‎identification problem and it is solved by a numerical met...