Interval methods for solving nonlinear constraint satisfaction, optimization and similar problems :
[Book]
from inequalities systems to game solutions /
Bartłomiej Jacek Kubica.
Cham, Switzerland :
Springer,
2019.
1 online resource (xviii, 156 pages) :
illustrations
Studies in computational intelligence,
volume 805
1860-949X ;
Includes bibliographical references.
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.
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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.
Springer Nature
com.springer.onix.9783030137953
Interval methods for solving nonlinear constraint satisfaction, optimization and similar problems.