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A Library of Quadratic Programming Instances

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QPLIB_8685

Formats	gms lp mod qplib
Problem type ^probtype	DCQ
Solution point objective value ^solobjvalue	100.00000000 (gdx, sol)
Solution point infeasibility ^{solinfeasibility}	1.3323e-15
Donor ^donor	Nick Gould
#Variables ^nvars	772
#Binary Variables ^nbinvars	0
#Integer Variables ^nintvars	0
#Bounded non-binary Variables ^nboundedvars	0
#Variables with only one bound ^{nsingleboundedvars}	0
#Nonlinear Variables ^nnlvars	772
#Nonlinear Binary Variables ^nnlbinvars	0
#Nonlinear Integer Variables ^nnlintvars	0
Objective Sense ^objsense	min
Objective type ^objtype	quadratic
Objective curvature ^objcurvature	convex
#Negative eigenvalues in objective matrix ^{nobjquadnegev}
#Positive eigenvalues in objective matrix ^{nobjquadposev}	772
#Nonzeros in Objective ^nobjnz	772
#Nonlinear Nonzeros in Objective ^nobjnlnz	772
#Quadratic Terms in Objective ^nobjquadnz	772
#Square Terms in Objective ^{nobjquaddiagnz}	772
#Constraints ^ncons	10000
#Linear Constraints ^nlincons	0
#Quadratic Constraints ^nquadcons	10000
#Diagonal Quadratic Constraints ^{ndiagquadcons}	100
Constraints curvature ^{conscurvature}	concave
#Convex Nonlinear Constraints ^{nconvexnlcons}	0
#Concave Nonlinear Constraints ^{nconcavenlcons}	10000
#Indefinite Nonlinear Constraints ^{nindefinitenlcons}	0
#Nonzeros in Jacobian ^njacobiannz	153628
#Nonlinear Nonzeros in Jacobian ^{njacobiannlnz}	153628
#Nonzeros in (Upper-Left) Hessian of Lagrangian ^{nlaghessiannz}	74540
#Nonzeros in Diagonal of Hessian of Lagrangian ^{nlaghessiandiagnz}	772
#Blocks in Hessian of Lagrangian ^{nlaghessianblocks}	8
Minimal blocksize in Hessian of Lagrangian ^{laghessianminblocksize}	93
Maximal blocksize in Hessian of Lagrangian ^{laghessianmaxblocksize}	100
Average blocksize in Hessian of Lagrangian ^{laghessianavgblocksize}	96.5
Sparsity Jacobian
Sparsity Lag. Hessian