The Moment-sos Hierarchy: Lectures in Probability, Statistics, Computational Geometry, Control and Nonlinear Pdes

Henrion, Didier/ Korda, Milan/ Lasserre, Jean Bernard

ISBN 10: 1786348535 / ISBN 13: 9781786348531

Verlag: World Scientific Pub Co Inc, 2020

Beschreibung

229 pages. 9.25x6.25x1.00 inches. In Stock. Bestandsnummer des Verkäufers x-1786348535

Bibliografische Details

Titel: The Moment-sos Hierarchy: Lectures in ...

Verlag: World Scientific Pub Co Inc

Erscheinungsdatum: 2020

Einband: Hardcover

Zustand: Brand New

Über diesen Titel

Inhaltsangabe:

The Moment-SOS hierarchy is a powerful methodology that is used to solve the Generalized Moment Problem (GMP) where the list of applications in various areas of Science and Engineering is almost endless. Initially designed for solving polynomial optimization problems (the simplest example of the GMP), it applies to solving any instance of the GMP whose description only involves semi-algebraic functions and sets. It consists of solving a sequence (a hierarchy) of convex relaxations of the initial problem, and each convex relaxation is a semidefinite program whose size increases in the hierarchy.

The goal of this book is to describe in a unified and detailed manner how this methodology applies to solving various problems in different areas ranging from Optimization, Probability, Statistics, Signal Processing, Computational Geometry, Control, Optimal Control and Analysis of a certain class of nonlinear PDEs. For each application, this unconventional methodology differs from traditional approaches and provides an unusual viewpoint. Each chapter is devoted to a particular application, where the methodology is thoroughly described and illustrated on some appropriate examples.

The exposition is kept at an appropriate level of detail to aid the different levels of readers not necessarily familiar with these tools, to better know and understand this methodology.

Über die Autorin bzw. den Autor:

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.