Condition : the geometry of numerical algorithms / by Peter Bürgisser, Felipe Cucker.
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...
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| Main Authors: | , |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
Heidelberg [Germany] ; New York :
Springer,
[2013]
|
| Series: | Grundlehren der mathematischen Wissenschaften ;
349. |
| Subjects: | |
| Online Access: | Springer eBooks |
MARC
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| 011 | |a EDS Title: Condition: The Geometry of Numerical Algorithms | ||
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| 011 | |a MARC Score : 11450(25400) : OK | ||
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| 100 | 1 | |a Bürgisser, Peter, |d 1962- |e author. |9 437123 | |
| 245 | 1 | 0 | |a Condition : |b the geometry of numerical algorithms / |c by Peter Bürgisser, Felipe Cucker. |
| 246 | 3 | 0 | |a Geometry of numerical algorithms |
| 264 | 1 | |a Heidelberg [Germany] ; |a New York : |b Springer, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (xxxi, 554 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften, |x 0072-7830 ; |v 349 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Conditions in linear algebra (adagio) -- Conditions in linear optimization (andante) -- Conditions in polynomial equation solving (allegro con brio) -- Appendixes -- Coda: open problems. | |
| 520 | |a 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. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 588 | |a Machine converted from AACR2 source record. | ||
| 650 | 0 | |a Algorithms. |9 313642 | |
| 650 | 0 | |a Computer science |x Mathematics. |9 317183 | |
| 650 | 0 | |a Linear programming. |9 320116 | |
| 650 | 0 | |a Numerical analysis. |9 321512 | |
| 700 | 1 | |a Cucker, Felipe, |d 1958- |e author. |9 289736 | |
| 830 | 0 | |a Grundlehren der mathematischen Wissenschaften ; |v 349. |9 1058272 | |
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