Necessary Conditions for an ExtremumCRC Press, 1 mai 1971 - 248 pages This book presents a theory of necessary conditions for an extremum, including formal conditions for an extremum and computational methods. It states the general results of the theory and shows how these results can be particularized to specific problems. |
Table des matières
INTRODUCTION ELEMENTS OF FUNCTIONAL | 1 |
PROPERTIES OF CONVEX | 39 |
CONVEX PROGRAMMING | 54 |
QUASIDIFFERENTIABLE | 68 |
NECESSARY CONDITIONS | 82 |
NECESSARY CONDITIONS FOR | 120 |
A Linear Optimal Control Problem | 142 |
SHORT BIBLIOGRAPHY | 201 |
| 210 | |
NOTES AND SUPPLEMENTARY BIBLIOGRAPHY | 217 |
| 223 | |
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Expressions et termes fréquents
achieves its minimum assumptions Banach space basis of Theorem bounded functional Chapter Chebyshev approximation Chebyshev approximation problem closed set compact set consider constraints continuous functions contradicts convergence convex and weak convex bounded functional convex cone convex functionals convex hull convex programming convex programming problem convex set defined definition denote Dubovitskii equations exist numbers exists a functional extremal problems extremum formula func Functional Analysis functional u(x Gâteaux differential given holds implies interior point Lemma linear space linearly independent max x*(e maximum principle Milyutin moment problem Moreover necessary and sufficient necessary conditions normed space obtain open sets optimal control problems Proof proved quasi-differentiable functional regularly convex result satisfy the condition sequence sequential compactness set of support strong topology sufficiently small sup x*(e support functionals suppose Theorem 4.6 theory of necessary tion topological space virtue Σ λ Σλ
Références à ce livre
Nondifferentiable Optimization Vladimir Fedorovich Demʹi︠a︡nov,Leonid Vasilʹevich Vasilʹev Aucun aperçu disponible - 1985 |
Nondifferentiable and Two-Level Mathematical Programming Kiyotaka Shimizu,Yo Ishizuka,Jonathan F. Bard Aucun aperçu disponible - 1996 |