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Condition

von Felipe Cucker und Peter Bürgisser
Softcover - 9783642440120
149,79 €
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Hardcover - 9783642388958
149,79 €

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Weitere Formate

Hardcover - 9783642388958
149,79 €

Beschreibung

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 17 th 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.

The Geometry of Numerical Algorithms

The Geometry of Numerical Algorithms

Details

Verlag Springer Berlin
Ersterscheinung 22. August 2015
Maße 23.5 cm x 15.5 cm
Gewicht 879 Gramm
Format Softcover
ISBN-13 9783642440120
Auflage Softcover reprint of the original 1st ed. 2013
Seiten 554

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