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Condition : the geometry of numerical algorithms

Verfasser/in: Peter Bürgisser; Felipe Cucker
Verlag: Berlin : Springer, [2013] ©2013
Serien: Grundlehren der mathematischen Wissenschaften, 349.
Ausgabe/Format   E-Book : Dokument : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:
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  Weiterlesen…
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Gattung/Form: Electronic books
Physisches Format Print version:
Bürgisser, Peter, 1962- author.
Condition
(OCoLC)855200598
Medientyp: Dokument, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: Peter Bürgisser; Felipe Cucker
ISBN: 9783642388965 3642388965
OCLC-Nummer: 858626298
Beschreibung: 1 online resource (xxxi, 554 pages) : illustrations.
Inhalt: 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.
Serientitel: Grundlehren der mathematischen Wissenschaften, 349.
Verfasserangabe: Peter Bürgisser, Felipe Cucker.
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Condition  Weiterlesen…

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From the reviews: "The authors of this book discuss the ways that such errors are produced in a computer, and consider the use of condition numbers to understand the performance of numerical Weiterlesen…

 
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