Perturbation analysis of optimization problems /
"This timely book in the area of optimization focuses on the questions of how solutions of optimization problems behave. Under perturbations and on related, first- and especially second-order optimality conditions. The authors have put together many results that are not easily accessible in the...
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| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
2000.
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| Series: | Springer series in operations research
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| Subjects: |
MARC
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| 100 | 1 | |a Bonnans, J. F. |q (Joseph Frédéric), |d 1957- | |
| 245 | 1 | 0 | |a Perturbation analysis of optimization problems / |c J. Frédéric Bonnans, Alexander Shapiro. |
| 260 | |a New York : |b Springer, |c 2000. | ||
| 300 | |a xviii, 601 pages : |b illustrations ; |c 25 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Springer series in operations research | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g 1. |t Introduction -- |g 2. |t Background Material. |g 2.1. |t Basic Functional Analysis. |g 2.2. |t Directional Differentiability and Tangent Cones. |g 2.3. |t Elements of Multifunctions Theory. |g 2.4. |t Convex Functions. |g 2.5. |t Duality Theory -- |g 3. |t Optimality Conditions. |g 3.1. |t First Order Optimality Conditions. |g 3.2. |t Second Order Necessary Conditions. |g 3.3. |t Second Order Sufficient Conditions. |g 3.4. |t Specific Structures. |g 3.5. |t Nonisolated Minima -- |g 4. |t Stability and Sensitivity Analysis. |g 4.1. |t Stability of the Optimal Value and Optimal Solutions. |g 4.2. |t Directional Regularity. |g 4.3. |t First Order Differentiability Analysis of the Optimal Value Function. |g 4.4. |t Quantitative Stability of Optimal Solutions and Lagrange Multipliers. |g 4.5. |t Directional Stability of Optimal Solutions. |
| 520 | 1 | |a "This timely book in the area of optimization focuses on the questions of how solutions of optimization problems behave. Under perturbations and on related, first- and especially second-order optimality conditions. The authors have put together many results that are not easily accessible in the current literature, organizing the material in a consistent manner so that a broad theory emerges. A considerable body of supporting material, such as elements of convex analysis, duality theory, etc., and applications to nonlinear semi-definite and semi-infinite programming, is presented and may have an independent interest. Many elements are new and not available elsewhere." "In particular, the emphasis is on infinite dimensions as well as finite-dimensional problems." | |
| 520 | 8 | |a "Research professionals, including graduate students at an advanced level in the fields of optimization, nonlinear programming, and optimal control, and also more general users of optimization will find this text useful."--Jacket. | |
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| 650 | 0 | |a Perturbation (Mathematics) | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 6 | |a Perturbation (Mathématiques) | |
| 650 | 6 | |a Optimisation mathématique. | |
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| 650 | 7 | |a Perturbation (Mathematics) |2 fast |0 (OCoLC)fst01058905 | |
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| 700 | 1 | |a Shapiro, Alexander, |d 1949- | |
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