Condition

The Geometry of Numerical Algorithms

Nonfiction, Computers, Database Management, Data Processing, Science & Nature, Mathematics, Programming
Cover of the book Condition by Peter Bürgisser, Felipe Cucker, Springer Berlin Heidelberg
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Author: Peter Bürgisser, Felipe Cucker ISBN: 9783642388965
Publisher: Springer Berlin Heidelberg Publication: August 15, 2013
Imprint: Springer Language: English
Author: Peter Bürgisser, Felipe Cucker
ISBN: 9783642388965
Publisher: Springer Berlin Heidelberg
Publication: August 15, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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