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Item Details
Title: CONDITION
THE GEOMETRY OF NUMERICAL ALGORITHMS
By: Peter Burgisser, Felipe Cucker
Format: Hardback

List price: £109.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 3642388957
ISBN 13: 9783642388958
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 13 August, 2013
Edition: 2013 ed.
Series: Grundlehren der mathematischen Wissenschaften 349
Pages: 554
Description: This book deals with condition as a main aspect in the understanding of the performance-regarding both stability and complexity-of numerical algorithms. It offers partial solutions for Smale's 17th problem.
Synopsis: 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 way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming.
Illustrations: XXXI, 554 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
Some other items by this author:
ALGEBRAIC COMPLEXITY THEORY (HB)
ALGEBRAIC COMPLEXITY THEORY (PB)
COLLECTED PAPERS OF STEPHEN SMALE, THE (IN 3 VOLUMES) (HB)
COLLECTED PAPERS OF STEPHEN SMALE, THE - VOLUME 1 (HB)
COLLECTED PAPERS OF STEPHEN SMALE, THE - VOLUME 2 (HB)
COLLECTED PAPERS OF STEPHEN SMALE, THE - VOLUME 3 (HB)
COMPLETENESS AND REDUCTION IN ALGEBRAIC COMPLEXITY THEORY (HB)
COMPLETENESS AND REDUCTION IN ALGEBRAIC COMPLEXITY THEORY (PB)
COMPLEXITY AND REAL COMPUTATION
COMPLEXITY AND REAL COMPUTATION (PB)
CONDITION (PB)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (PB)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, BUDAPEST 2011 (PB)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, HONG KONG 2008
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, HONG KONG 2008 (PB)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, MINNEAPOLIS 2002
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, MINNEAPOLIS 2002 (PB)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, PROCEEDINGS OF SMALEFEST 2000 (HB)
LEARNING THEORY
LEARNING THEORY (HB)
MANIFOLD MIRRORS (HB)
MANIFOLD MIRRORS (PB)

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