Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics - Tapa dura

Jaulin, Luc; Kieffer, Michel; Didrit, Olivier

 
9781852332198: Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics
Tapa dura
ISBN 10: 1852332190 ISBN 13: 9781852332198
Editorial: Springer, 2001

Sinopsis

At the core of many engineering problems is the solution of sets of equa­ tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un­ knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter’s supervision. It continued with their joint supervision of Olivier Didrit’s and Michel Kieffer’s PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

From the reviews:
"Applied Interval Analysis is the right book at the right time to move computing with intervals into the mainstream of engineering, financial, and scientific computing."
G. William Walster, Interval Technology Engineering Manager, Sun Microsystems and Member of the Editorial Board of Reliable Computing

Reseña del editor

At the core of many engineering problems is the solution of sets of equa­ tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un­ knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2001
Idioma
Inglés
ISBN 10 
1852332190
ISBN 13 
9781852332198
Encuadernación
Tapa dura
Número de páginas
400
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9781447110675: Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics

Edición Destacada

ISBN 10:  1447110676 ISBN 13:  9781447110675
Editorial: Springer, 2012
Tapa blanda