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Titlebook: Handbook of Global Optimization; Reiner Horst,Panos M. Pardalos Book 1995 Springer Science+Business Media Dordrecht 1995 algorithms.comple

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Multiplicative Programming Problems,problems containing a product of several convex functions either in its objective or in its constraints. It has various practical applications in such areas as microeconomics, geometric optimization, multicriteria optimization and so on. A product of convex functions is in general not (quasi)convex,
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Lipschitz Optimization,explicitly) and have a bounded slope. The problems of finding an optimal solution, an .-optimal one, all optimal solutions, and a small volume enclosure of all optimal solutions within hyperrectangles (possibly containing only .optimal points) are investigated. In the univariate case, necessary cond
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Homotopy Methods,piecewise linear approximations and pivoting steps or on differential topology and path following. Homotopy methods work by first solving a simple problem and then deforming this problem into the original complicated problem. During this deformation or homotopy we follow paths from the solutions of
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Interval Methods,re applicable both to unconstrained and constrained as well as to nonsmooth optimization or to problems over unbounded domains. We also emphasize the role of bisections and attempts to find the right bisections when solving the problem computationally since almost all interval based global optimizat
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Multiplicative Programming Problems,functions, and minimization of a convex function subject to a constraint on a product of . convex functions. If . is less than four or five, it is shown that parametric simplex algorithms or global optimization algorithms work very well for these problems.
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Hiroshi Konno,Takahito Kunocognition system. The reviewed techniques are laser range scans, 3D from structured light projection, stereo vision, morphing, shape from motion, shape from space carving, and shape from shading. Concepts, accuracy, feasibility, and limitations of these techniques and their effectiveness for 3D face recognition are discussed.
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