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Instance cont6-qq
A quadratic-quadratic control problem. Example 6 from Maurer and Mittelmann (2001).
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -1.90239958 (BARON) 0.01257282 (GUROBI) 1.09823085 (SCIP) |
| Referencesⓘ | Maurer, Helmut and Mittelmann, Hans D., Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints. Part 2: Distributed Control, Computational Optimization and Applications, 18:2, 2001, 141-160. |
| Sourceⓘ | QPLIB instance 8553, contributed by Nick Gould, CUTEr model CONT6-QQ |
| Applicationⓘ | Optimal Control |
| Added to libraryⓘ | 18 Aug 2018 |
| Problem typeⓘ | QCQP |
| #Variablesⓘ | 79998 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 79202 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | indefinite |
| #Nonzeros in Objectiveⓘ | 79202 |
| #Nonlinear Nonzeros in Objectiveⓘ | 79202 |
| #Constraintsⓘ | 40397 |
| #Linear Constraintsⓘ | 796 |
| #Quadratic Constraintsⓘ | 39601 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 239396 |
| #Nonlinear Nonzeros in Jacobianⓘ | 79202 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 158404 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 79202 |
| #Blocks in Hessian of Lagrangianⓘ | 39601 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 2 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 2 |
| Average blocksize in Hessian of Lagrangianⓘ | 2.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-05 |
| Maximal coefficientⓘ | 3.9999e+00 |
| Infeasibility of initial pointⓘ | 0 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |