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Introductory Lectures on Convex Optimization: Basic Course (Applied Optimization, 87)
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The importance of Karmarkar's paper was not only in its complexity bound, but also the fact that its high efficiency was supported by excellent computational results, which dramatically changed the style and directions of research in nonlinear optimization.
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Детаљи о производу
| Publisher | Kluwer Academic Pub |
| Publication date | December 31, 2003 |
| Edition | 2004th |
| Language | English |
| Print length | 254 pages |
| ISBN-10 | 1402075537 |
| ISBN-13 | 978-1402075537 |
| Item Weight | 1.25 pounds (570 grams) |
| Dimensions | 6.25 x 1 x 10 inches (15.9 x 2.5 x 25.4 cm) |
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Introductory Lectures on Convex Optimization: Basic Course (Applied Optimization, 87)
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Карактеристике и предности
- Karmarkar's paper opened a new epoch in nonlinear optimization.
- The theoretical prediction of its high efficiency was supported by excellent computational results.
- New methods were provided with a complexity analysis, which was considered a better justification of their efficiency than computational experiments.
- The new field was called polynomial-time interior-point methods.
- The author was challenged to reflect the new developments in the field in a new course on nonlinear optimization.
- Only the theory of interior-point methods for linear optimization was polished enough to be explained to students.
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