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Condition : the geometry of numerical algorithms

Author: Peter Bürgisser; Felipe Cucker
Publisher: Berlin : Springer, [2013] ©2013
Series: Grundlehren der mathematischen Wissenschaften, 349.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bürgisser, Peter, 1962- author.
Condition
(OCoLC)855200598
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter Bürgisser; Felipe Cucker
ISBN: 9783642388965 3642388965
OCLC Number: 858626298
Description: 1 online resource (xxxi, 554 pages) : illustrations.
Contents: 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.
Series Title: Grundlehren der mathematischen Wissenschaften, 349.
Responsibility: Peter Bürgisser, Felipe Cucker.

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Condition  Read more...

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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 Read more...

 
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