Large-Scale Optimization with Applications: Part II: Optimal Design and ControlLorenz T. Biegler, Thomas F. Coleman, Andrew R. Conn, Fadil N. Santosa Springer Science & Business Media, 6 thg 12, 2012 - 324 trang This IMA Volume in Mathematics and its Applications LARGE-SCALE OPTIMIZATION WITH APPLICATIONS, PART II: OPTIMAL DESIGN AND CONTROL is one of the three volumes based on the proceedings of the 1995 IMA three week Summer Program on "Large-Scale Optimization with Applications to Inverse Problems, Optimal Control and Design, and Molecular and Struc tural Optimization." The other two related proceedings appeared as Vol ume 92: Large-Scale Optirpization with Applications, Part I: Optimization in Inverse Problems and Design and Volume 94: Large-Scale Optimization with Applications, Part III: Molecular Structure and Optimization. We would like to thank Lorenz T. Biegler, Thomas F. Coleman, An drew R. Conn, and Fadil N. Santosa for their excellent work as organizers of the meetings and for editing the proceedings. We also take this opportunity to thank the National Science Founda tion (NSF), the Department of Energy (DOE), and the Alfred P. Sloan support made the workshops possible. |
Nội dung
| 7 | |
Variablescale coarsegraining in macromolecular | 16 |
Some aspects of sequential quadratic programming methods | 21 |
Computing sparse Hessian and Jacobian approximations | 37 |
Thomas F Coleman | 52 |
Experience with a sparse nonlinear programming algorithm 53 333 | 53 |
A survey | 73 |
Atmospheric data assimilation based on the reduced | 79 |
Deterministic global optimization in design control | 129 |
Optimization problems in model predictive control | 185 |
Some recent developments in computational optimal control | 203 |
Largescale structural design optimization | 235 |
Largescale SQP methods for optimization | 247 |
Numerical optimal control of parabolic PDEs using DASOPT | 271 |
The promise and reality of multidisciplinary design | 301 |
A Multiplierfree reduced Hessian method for process | 101 |
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Thuật ngữ và cụm từ thông dụng
analysis Applications BFGS branch and bound C.A. Floudas Chemical Engineering Computers and Chemical connected variables convergence convex defined derivatives direction of negative discrete equations estimate finite formulation Global Optimization gradient Hessian approximation Hessian matrix horizon I.E. Grossmann implementation initial integer Jacobian Lagrange multipliers Lagrangian large-scale line search Lipschitz continuous lower bound master problem Mathematics merit function MILP minimizer MINLP model predictive control negative curvature Newton nodes nonlinear programming number of iterations objective function obtained optimal control optimal solution optimiza optimization problems parameter positive definite programming problems QP subproblem quadratic programming quasi-Newton quasi-Newton method reduced Hessian relaxed dual problems satisfy search direction sequence sequential quadratic programming Sk+1 SNOPT solved sparse sparsity SQP algorithm SQP methods step strategy structure tion trajectory update upper bound vector Visweswaran zero