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A Library of Quadratic Programming Instances

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QPLIB_3872

Formats	gms lp mod qplib
Problem type ^probtype	LMQ
Solution point objective value ^solobjvalue	85.44891308 (gdx, sol)
Solution point infeasibility ^{solinfeasibility}	2.2737e-13
Donor ^donor	Stefan Vigerske
#Variables ^nvars	1508
#Binary Variables ^nbinvars	95
#Integer Variables ^nintvars	0
#Bounded non-binary Variables ^nboundedvars	360
#Variables with only one bound ^{nsingleboundedvars}	648
#Nonlinear Variables ^nnlvars	1008
#Nonlinear Binary Variables ^nnlbinvars	0
#Nonlinear Integer Variables ^nnlintvars	0
Objective Sense ^objsense	max
Objective type ^objtype	linear
Objective curvature ^objcurvature	linear
#Negative eigenvalues in objective matrix ^{nobjquadnegev}
#Positive eigenvalues in objective matrix ^{nobjquadposev}
#Nonzeros in Objective ^nobjnz	172
#Nonlinear Nonzeros in Objective ^nobjnlnz	0
#Quadratic Terms in Objective ^nobjquadnz	0
#Square Terms in Objective ^{nobjquaddiagnz}	0
#Constraints ^ncons	2441
#Linear Constraints ^nlincons	1874
#Quadratic Constraints ^nquadcons	567
#Diagonal Quadratic Constraints ^{ndiagquadcons}	0
Constraints curvature ^{conscurvature}	indefinite
#Convex Nonlinear Constraints ^{nconvexnlcons}	0
#Concave Nonlinear Constraints ^{nconcavenlcons}	0
#Indefinite Nonlinear Constraints ^{nindefinitenlcons}	567
#Nonzeros in Jacobian ^njacobiannz	15664
#Nonlinear Nonzeros in Jacobian ^{njacobiannlnz}	2118
#Nonzeros in (Upper-Left) Hessian of Lagrangian ^{nlaghessiannz}	2118
#Nonzeros in Diagonal of Hessian of Lagrangian ^{nlaghessiandiagnz}	0
#Blocks in Hessian of Lagrangian ^{nlaghessianblocks}	102
Minimal blocksize in Hessian of Lagrangian ^{laghessianminblocksize}	2
Maximal blocksize in Hessian of Lagrangian ^{laghessianmaxblocksize}	22
Average blocksize in Hessian of Lagrangian ^{laghessianavgblocksize}	9.882353
Sparsity Jacobian
Sparsity Lag. Hessian