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Condition : the geometry of numerical algorithms

Auteur: Peter Bürgisser; Felipe Cucker
Uitgever: Berlin : Springer, [2013] ©2013
Serie: Grundlehren der mathematischen Wissenschaften, 349.
Editie/Formaat:   eBoek : Document : EngelsAlle edities en materiaalsoorten bekijken.
Database:WorldCat
Samenvatting:
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  Meer lezen...
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Details

Genre/Vorm: Electronic books
Aanvullende fysieke materiaalsoort: Print version:
Bürgisser, Peter, 1962- author.
Condition
(OCoLC)855200598
Genre: Document, Internetbron
Soort document: Internetbron, Computerbestand
Alle auteurs / medewerkers: Peter Bürgisser; Felipe Cucker
ISBN: 9783642388965 3642388965
OCLC-nummer: 858626298
Beschrijving: 1 online resource (xxxi, 554 pages) : illustrations.
Inhoud: 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.
Serietitel: Grundlehren der mathematischen Wissenschaften, 349.
Verantwoordelijkheid: Peter Bürgisser, Felipe Cucker.

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Condition  Meer lezen...

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From the book reviews: "The authors intend with this book to fill the gap by addressing the probabilistic analysis of the algorithms related to condition numbers. ... Under the vigilant eyes of so Meer lezen...

 
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