QPLIB
A Library of Quadratic Programming Instances
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| Formats | gms lp mod qplib |
| Problem type probtype | QBL |
| Solution point objective value solobjvalue | -1.25854847 (gdx, sol) |
| Solution point infeasibility solinfeasibility | 0.0000e+00 |
| Donor donor | Andrea Lodi |
| #Variables nvars | 175 |
| #Binary Variables nbinvars | 175 |
| #Integer Variables nintvars | 0 |
| #Bounded non-binary Variables nboundedvars | 0 |
| #Variables with only one bound nsingleboundedvars | 0 |
| #Nonlinear Variables nnlvars | 175 |
| #Nonlinear Binary Variables nnlbinvars | 175 |
| #Nonlinear Integer Variables nnlintvars | 0 |
| Objective Sense objsense | min |
| Objective type objtype | quadratic |
| Objective curvature objcurvature | indefinite |
| #Negative eigenvalues in objective matrix nobjquadnegev | 5 |
| #Positive eigenvalues in objective matrix nobjquadposev | 170 |
| #Nonzeros in Objective nobjnz | 175 |
| #Nonlinear Nonzeros in Objective nobjnlnz | 175 |
| #Quadratic Terms in Objective nobjquadnz | 14093 |
| #Square Terms in Objective nobjquaddiagnz | 175 |
| #Constraints ncons | 5 |
| #Linear Constraints nlincons | 5 |
| #Quadratic Constraints nquadcons | 0 |
| #Diagonal Quadratic Constraints ndiagquadcons | 0 |
| Constraints curvature conscurvature | linear |
| #Convex Nonlinear Constraints nconvexnlcons | 0 |
| #Concave Nonlinear Constraints nconcavenlcons | 0 |
| #Indefinite Nonlinear Constraints nindefinitenlcons | 0 |
| #Nonzeros in Jacobian njacobiannz | 874 |
| #Nonlinear Nonzeros in Jacobian njacobiannlnz | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz | 28011 |
| #Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz | 175 |
| #Blocks in Hessian of Lagrangian nlaghessianblocks | 2 |
| Minimal blocksize in Hessian of Lagrangian laghessianminblocksize | 1 |
| Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize | 174 |
| Average blocksize in Hessian of Lagrangian laghessianavgblocksize | 87.5 |
| Sparsity Jacobian | ![]() |
| Sparsity Lag. Hessian | ![]() |
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