Interval Methods for Solving Nonlinear Constraint Satisfaction, Optimization and Similar Problems : From Inequalities Systems to Game Solutions

Kubica, Bartłomiej Jacek

Interval Methods for Solving Nonlinear Constraint Satisfaction, Optimization and Similar Problems : From Inequalities Systems to Game Solutions by Bartłomiej Jacek Kubica - 1 recurso en línea (XVIII, 156 páginas) 20 ilustraciones - Studies in Computational Intelligence 805 1860-949X Intelligent Technologies and Robotics (Springer-42732) .

Introduction -- Interval calculus -- Bounding derivatives by algorithmic differentiation -- Branch-and-bound-type methods -- Solving equations and inequalities systems using interval B&BT methods -- Solving quantified problems using interval methods -- Parallelization of B&BT algorithms.

This book highlights recent research on interval methods for solving nonlinear constraint satisfaction, optimization and similar problems. Further, it presents a comprehensive survey of applications in various branches of robotics, artificial intelligence systems, economics, control theory, dynamical systems theory, and others. Three appendices, on the notation, representation of numbers used as intervals' endpoints, and sample implementations of the interval data type in several programming languages, round out the coverage.

9783030137953

10.1007/978-3-030-13795-3 doi


Análisis numérico
Ecuaciones diferenciales no lineales
Robótica

QA297.75 / 2019 EB