QPLIB

A Library of Quadratic Programming Instances

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QPLIB_10007

Formats	gms lp mod qplib
Problem type ^probtype	LMC
Solution point objective value ^solobjvalue	-17869.72000000 (gdx, sol)
Solution point infeasibility ^{solinfeasibility}	0.0000e+00
Donor ^donor	Pietro Belotti
#Variables ^nvars	4375
#Binary Variables ^nbinvars	2625
#Integer Variables ^nintvars	0
#Bounded non-binary Variables ^nboundedvars	1750
#Variables with only one bound ^{nsingleboundedvars}	0
#Nonlinear Variables ^nnlvars	4375
#Nonlinear Binary Variables ^nnlbinvars	2625
#Nonlinear Integer Variables ^nnlintvars	0
Objective Sense ^objsense	min
Objective type ^objtype	linear
Objective curvature ^objcurvature	linear
#Negative eigenvalues in objective matrix ^{nobjquadnegev}
#Positive eigenvalues in objective matrix ^{nobjquadposev}
#Nonzeros in Objective ^nobjnz	2625
#Nonlinear Nonzeros in Objective ^nobjnlnz	0
#Quadratic Terms in Objective ^nobjquadnz	0
#Square Terms in Objective ^{nobjquaddiagnz}	0
#Constraints ^ncons	2087
#Linear Constraints ^nlincons	2086
#Quadratic Constraints ^nquadcons	1
#Diagonal Quadratic Constraints ^{ndiagquadcons}	0
Constraints curvature ^{conscurvature}	convex
#Convex Nonlinear Constraints ^{nconvexnlcons}	1
#Concave Nonlinear Constraints ^{nconcavenlcons}	0
#Indefinite Nonlinear Constraints ^{nindefinitenlcons}	0
#Nonzeros in Jacobian ^njacobiannz	11170
#Nonlinear Nonzeros in Jacobian ^{njacobiannlnz}	4375
#Nonzeros in (Upper-Left) Hessian of Lagrangian ^{nlaghessiannz}	10856225
#Nonzeros in Diagonal of Hessian of Lagrangian ^{nlaghessiandiagnz}	4375
#Blocks in Hessian of Lagrangian ^{nlaghessianblocks}	41
Minimal blocksize in Hessian of Lagrangian ^{laghessianminblocksize}	1
Maximal blocksize in Hessian of Lagrangian ^{laghessianmaxblocksize}	4327
Average blocksize in Hessian of Lagrangian ^{laghessianavgblocksize}	106.707317
Sparsity Jacobian
Sparsity Lag. Hessian