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Condition - The Geometry of Numerical Algorithms (Paperback, Softcover reprint of the original 1st ed. 2013)
Loot Price: R5,624
Discovery Miles 56 240
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Condition - The Geometry of Numerical Algorithms (Paperback, Softcover reprint of the original 1st ed. 2013)
Series: Grundlehren der mathematischen Wissenschaften, 349
Expected to ship within 10 - 15 working days
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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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