UID:
almahu_9947367754402882
Format:
1 online resource (337 p.)
ISBN:
1-281-79790-1
,
9786611797904
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0-08-087240-9
Series Statement:
North-Holland mathematics studies ; 129
Content:
Optimization, as examined here, ranges from differential equations to problems arising in Mechanics and Statistics. The main topics covered are: calculations of variations and nonlinear elasticity, optimal control, analysis and optimization in problems dealing with nondifferentiable data, duality techniques, algorithms in mathematical programming and optimal control.
Note:
Sponsored by the French Mathematical Society and the Society for Applied and Industrial Mathematics.
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Front Cover; FERMAT Days 85: Mathematics for Optimization; Copyright Page; Contents; Preface; Chapter 1. On continuity properties of the partial Legendre-Fenchel transform: convergence of sequences of augmented Lagrangian functions, Moreau-Yosida approximates and subdifferential operators; Chapter 2. Seminormality of integral functionals and relaxed control theory; Chapter 3. Global maximization of a nondefinite quadratic function over a convex polyhedron; Chapter 4. On connections between the maximum principle and the dynamic programming technique
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Chapter 5. Convex function of a measure. The unbounded caseChapter 6. Computational methods in scheduling optimization; Chapter 7. A new set-valued second order derivative for convex functions; Chapter 8. On the theory of subdifferential; Chapter 9. Constructing bundle methods for convex optimization; Chapter 10. Existence theorems in nonlinear elasticity; Chapter 11. Algorithms for solving a class of nonconvex optimization problems. Methods of subgradients; Chapter 12. A general deterministic approach to global optimization via d.c. programming
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Chapter 13. Well-posedness and stability analysis in optimization
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English
Additional Edition:
ISBN 0-444-70121-4
Language:
English
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