Solving a Class of Linearly Constrained Indefinite Quadratic Problems by D.C. Algorithms
暂无分享,去创建一个
[1] Le Thi Hoai An,et al. Difference of convex functions optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres , 1996, Operations Research Letters.
[2] Pham Dinh Tao. Algorithmes de calcul du maximum des formes quadratiques sur la boule unité de la norme du maximum , 1984 .
[3] J. B. Rosen,et al. A parallel algorithm for partially separable non-convex global minimization: Linear constraints , 1990 .
[4] Roland Durier. On Locally Polyhedral Convex Functions , 1988 .
[5] J. Hiriart-Urruty. Generalized Differentiability / Duality and Optimization for Problems Dealing with Differences of Convex Functions , 1985 .
[6] J. Gillis,et al. Matrix Iterative Analysis , 1961 .
[7] J. Ben Rosen,et al. A parallel algorithm for constrained concave quadratic global minimization , 1988, Math. Program..
[8] Reiner Horst,et al. On solving a D.C. programming problem by a sequence of linear programs , 1991, J. Glob. Optim..
[9] Panos M. Pardalos,et al. Global minimization of large-scale constrained concave quadratic problems by separable programming , 1986, Math. Program..
[10] J. Ben Rosen,et al. An Algorithm for Global Minimization of Linearly Constrained Concave Quadratic Functions , 1987, Math. Oper. Res..
[11] A. Brøndsted. An Introduction to Convex Polytopes , 1982 .
[12] H. Tuy. Global Minimization of a Difference of Two Convex Functions , 1987 .
[13] P. D. Tao. Convergence of a subgradient method for computing the bound norm of matrices , 1984 .
[14] Le Thi Hoai An,et al. A D.C. Optimization Algorithm for Solving the Trust-Region Subproblem , 1998, SIAM J. Optim..
[15] J. Toland. A duality principle for non-convex optimisation and the calculus of variations , 1979 .
[16] Le Thi Hoai An,et al. Numerical solution for optimization over the efficient set by d.c. optimization algorithms , 1996, Oper. Res. Lett..
[17] L. Thi,et al. Analyse numérique des algorithmes de l'optimisation D. C. . Approches locale et globale. Codes et simulations numériques en grande dimension. Applications , 1994 .
[18] J. E. Falk,et al. An Algorithm for Separable Nonconvex Programming Problems , 1969 .
[19] Jorge J. Moré,et al. Computing a Trust Region Step , 1983 .
[20] Pham Dinh Tao,et al. Iterative behaviour, fixed point of a class of monotone operators. Application to nonsymmetric threshold function , 1988 .
[21] J.-B. Hiriart-Urruty,et al. From Convex Optimization to Nonconvex Optimization. Necessary and Sufficient Conditions for Global Optimality , 1989 .
[22] Pham Dinh Tao,et al. Duality in D.C. (Difference of Convex functions) Optimization. Subgradient Methods , 1988 .
[23] R. Horst,et al. Global Optimization: Deterministic Approaches , 1992 .
[24] T. Q. Phong,et al. On globally solving linearly constrained indefinite quadratic minimization problems by decomposition branch and bound method , 1996 .
[25] Panos M. Pardalos,et al. A Collection of Test Problems for Constrained Global Optimization Algorithms , 1990, Lecture Notes in Computer Science.