Handbook of Global Optimization, Tập 1R. Horst, Panos M. Pardalos Springer US, 1995 - 880 trang Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems. |
Nội dung
A Survey | 27 |
Theory Applications and Algorithms | 43 |
Overview of Three Fundamental Algorithmic Approaches | 77 |
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Thuật ngữ và cụm từ thông dụng
Analysis applications approach Benson bilinear bisection branch and bound branch-and-bound complementarity problem computational concave function concave minimization problems cone constraints convergence convex functions convex programming convex set cost defined denote differentiable dual Duality efficient equations evaluation points exists extreme point feasible point feasible region finite number fixed point fopt Fractional Programming Problems function values given global minimizer global optimal solution Global Optimization homotopy Horst and Tuy hyperrectangles inclusion functions inequality integer interval iteration Konno Lemma linear complementarity problem Linear Fractional Programming linear program Lipschitz lower bound Math Mathematical Programming matrix maximization minimum nonconvex nonempty Nonlinear Programming objective function Operations Research outer approximation parametric Pardalos polyhedral polyhedron polynomial properties quadratic problems quadratic programming quasiconcave reverse convex satisfies Section sequence simplex Step stochastic subproblem subset Theorem Thoai upper bound variables vector vertex zero
Tài liệu tham khảo sách này
Introduction to Global Optimization R. Horst,Panos M. Pardalos,Nguyen Van Thoai Xem trước bị giới hạn - 2000 |