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Condition : the geometry of numerical algorithms

Auteur : Peter Bürgisser; Felipe Cucker
Éditeur : Berlin : Springer, [2013] ©2013
Collection : Grundlehren der mathematischen Wissenschaften, 349.
Édition/format :   Livre électronique : Document : EnglishVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. While the role of condition was shaped in the last half-century, so far there has not been a monograph treating this subject in a uniform and systematic  Lire la suite...
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Détails

Genre/forme : Electronic books
Format – détails additionnels : Print version:
Bürgisser, Peter, 1962- author.
Condition
(OCoLC)855200598
Type d’ouvrage : Document, Ressource Internet
Format : Internet Resource, Computer File
Tous les auteurs / collaborateurs : Peter Bürgisser; Felipe Cucker
ISBN : 9783642388965 3642388965
Numéro OCLC : 858626298
Description : 1 online resource (xxxi, 554 pages) : illustrations.
Contenu : Condition in Linear Algebra (). Normwise Condition of Linear Equation Solving --
Probabilistic Analysis --
Error Analysis of Triangular Linear Systems --
Probabilistic Analysis of Rectangular Matrices --
Condition Numbers and Iterative Algorithms --
Condition in Linear Optimization (). A Condition Number for Polyhedral Conic Systems --
The Ellipsoid Method --
Linear Programs and Their Solution Sets --
Interior-Point Methods --
The Linear Programming Feasibility Problem --
Condition and Linear Programming Optimization --
Average Analysis of the RCC Condition Number --
Probabilistic Analyses of the GCC Condition Number --
Condition in Polynomial Equation Solving (). A Geometric Framework for Condition Numbers --
Homotopy Continuation and Newton's Method --
Homogeneous Polynomial Systems --
Smale's 17th Problem: I --
Smale's 17th Problem: II --
Real Polynomial Systems --
Probabilistic Analysis of Conic Condition Numbers: I. The Complex Case --
Probabilistic Analysis of Conic Condition Numbers: II. The Real Case.
Titre de collection : Grundlehren der mathematischen Wissenschaften, 349.
Responsabilité : Peter Bürgisser, Felipe Cucker.
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Condition  Lire la suite...

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"The book under review is divided into three parts, 'which approximately correspond to themes of conditioning in linear algebra, linear programming, and polynomial equation solving'. ... Given its Lire la suite...

 
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