Complex Interval Arithmetic and Its Applications - Couverture rigide

Petkovic, Miodrag S.; Petkovic, Ljiljana

Couverture rigide

ISBN 10 : 3527401342 ISBN 13 : 9783527401345

Editeur : Wiley-VCH Verlag GmbH, 1998

Synopsis

This text presents formulas and methods developed using complex interval arithmetic. Several main subjects are considered: outer estimates for the range of complex functions, especially complex centred forms, the best approximations of elementary complex functions by disks, iterative methods for the inclusion by polynomial zeros, including their implementation on parallel computers, the analysis of numerical stability of iterative methods by using complex interval arithmetic and numerical computation of curvilinear integrals with error bounds.

A propos du livre

Présentation de l'éditeur

The aim of this book is to present formulas and methods developed using complex interval arithmetic. While most of numerical methods described in the literature deal with real intervals and real vectors, there is no systematic study of methods in complex interval arithmetic. The book fills this gap. Several main subjects are considered: outer estimates for the range of complex functions, especially complex centered forms, the best approximations of elementary complex functions by disks, iterative methods for the inclusion by polynomial zeros including their implementation on parallel computers, the analysis of numerical stability of iterative methods by using complex interval arithmetic and numerical computation of curvilinear integrals with error bounds. Mainly new methods are presented developed over the last years, including a lot of very recent results by the authors some of which have not been published before.

Détails de l'édition

• Éditeur: Wiley-VCH Verlag GmbH
• Date d'édition: 1998
• Langue: anglais
• ISBN 10: 3527401342
• ISBN 13: 9783527401345
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 270
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible