Perturbation Analysis Of Optimization Pr
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Auteur:
J.Frederic Bonnans
Alexander Shapiro
Co-auteur:
J. Frederic Bonnans
- Engels
- Hardcover
- 9780387987057
- 11 mei 2000
- 601 pagina's
Samenvatting
We also consider a parameteriZed version (P ) of the above u problem, where the objective function / (x, u) and the constraint mapping G(x, u) are parameterized by a vector u varying in a Banach space U.
The main subject of this book is perturbation analysis of continuous optimization problems. In the last two decades considerable progress has been made in that area, and it seems that it is time now to present a synthetic view of many important results that apply to various classes of problems. The model problem that is considered throughout the book is of the form (P) Min/(x) subjectto G(x) E K. xeX Here X and Y are Banach spaces, K is a closed convex subset of Y, and / : X -+ IR and G : X -+ Y are called the objective function and the constraint mapping, respectively. We also consider a parameteriZed version (P ) of the above u problem, where the objective function / (x, u) and the constraint mapping G(x, u) are parameterized by a vector u varying in a Banach space U. Our aim is to study continuity and differentiability properties of the optimal value v(u) and the set S(u) of optimal solutions of (P ) viewed as functions of the parameter vector u.
The main subject of this book is perturbation analysis of continuous optimization problems. In the last two decades considerable progress has been made in that area, and it seems that it is time now to present a synthetic view of many important results that apply to various classes of problems. The model problem that is considered throughout the book is of the form (P) Min/(x) subjectto G(x) E K. xeX Here X and Y are Banach spaces, K is a closed convex subset of Y, and / : X -+ IR and G : X -+ Y are called the objective function and the constraint mapping, respectively. We also consider a parameteriZed version (P ) of the above u problem, where the objective function / (x, u) and the constraint mapping G(x, u) are parameterized by a vector u varying in a Banach space U. Our aim is to study continuity and differentiability properties of the optimal value v(u) and the set S(u) of optimal solutions of (P ) viewed as functions of the parameter vector u.
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- Hardcover
- Oorspronkelijke releasedatum
- 11 mei 2000
- Aantal pagina's
- 601
- Illustraties
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Betrokkenen
- Hoofdauteur
- J.Frederic Bonnans
- Tweede Auteur
- Alexander Shapiro
- Co Auteur
- J. Frederic Bonnans
- Hoofduitgeverij
- Springer-Verlag New York Inc.
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- 2000 ed.
- Extra groot lettertype
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- Product breedte
- 155 mm
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- 31 mm
- Product lengte
- 235 mm
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- 155 mm
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- 1172 g
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- 9780387987057
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