Abstract. In this article, we report on sixth-order and seventh-order iterative methods for solving nonlinear equations. In particular sixth-order derivative-based and derivative-free iterative families are constructed in such a way that they comprise a wide class of sixth-order methods which were developed in the past years. Weighting functions are introduced to enhance the algorithmic efficie...

In this paper, we first propose a finite mixture of exponential distribution model with parametric functions. By using the local constant fitting, the local maximum likelihood estimations of parametric functions are obtained, and their asymptotic biases and asymptotic variances are discussed. Moreover, we propose the EM algorithm to carry out the estimation procedure and give the ascent propert...

The algorithm presented in this paper solves the minimum flow problem in a parametric network with linear lower bound functions by computing a parametric maximum flow from the sink node to the source node. The algorithm does not work directly in the original parametric network but in the parametric residual network defined as for the parametric maximum flow problem. The complexity of the parame...

We propose a two-parametric class of merit functions for the second-order cone complementarity problem (SOCCP) based on the one-parametric class of complementarity functions. By the new class of merit functions, the SOCCP can be reformulated as an unconstrainedminimization problem.The new class ofmerit functions is shown to possess some favorable properties. In particular, it provides a global ...

The paper presents the results of FPGA implementation of fuzzy Mamdani system with parametric conjunctions generated by monotone sum of basic t-norms. The system is implemented on the DE2 Altera development board using VHDL language. The system contains reconfigurable fuzzy Mamdani model with parametric membership functions and parametric operations that gives possibility to adjust the system t...

This document is the tutorial of the CGAL extension package for parametric search. It gives an overview of the parametric-search framework, and explains how to use it by describing implementations of several applications of parametric search. The full documentation of all classes and functions that are meant to be called from user-code can be found in the reference manual.

The paper presents the results of FPGA implementation of fuzzy Mamdani system with parametric conjunctions generated by monotone sum of basic t-norms. The system is implemented on the DE2 Altera development board using VHDL language. The system contains reconfigurable fuzzy Mamdani model with parametric membership functions and parametric operations that gives possibility to adjust the system t...

A nonconvex generalized semi-infinite programming problem is considered involving parametric max-functions in both, the objective and the constraints. For a fixed vector of parameters, the values of these parametric max-functions are given as optimal values of convex quadratic programming problems. Assuming that for each parameter the parametric quadratic problems satisfy the strong duality rel...

15 Parametric Curves And Surfaces 15.1 Parametric Curves Designing Curves • We don’t want only polygons. • Curves are used for design. Users require a simple set of controls to allow them to edit and design curves easily. • Curves should have infinite resolution, so we can zoom in and still see a smooth curve. • We want to have a compact representation. Parametric functions are of the form x(t)...