QPLIB

A Library of Quadratic Programming Instances

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QPLIB_8777

Formats	gms lp mod qplib
Problem type ^probtype	QCL
Solution point objective value ^solobjvalue	-2238983072.00000000 (gdx, sol)
Solution point infeasibility ^{solinfeasibility}	1.7764e-15
Donor ^donor	Nick Gould
#Variables ^nvars	10000
#Binary Variables ^nbinvars	0
#Integer Variables ^nintvars	0
#Bounded non-binary Variables ^nboundedvars	10000
#Variables with only one bound ^{nsingleboundedvars}	0
#Nonlinear Variables ^nnlvars	10000
#Nonlinear Binary Variables ^nnlbinvars	0
#Nonlinear Integer Variables ^nnlintvars	0
Objective Sense ^objsense	min
Objective type ^objtype	quadratic
Objective curvature ^objcurvature	indefinite
#Negative eigenvalues in objective matrix ^{nobjquadnegev}	3457
#Positive eigenvalues in objective matrix ^{nobjquadposev}	6543
#Nonzeros in Objective ^nobjnz	10000
#Nonlinear Nonzeros in Objective ^nobjnlnz	10000
#Quadratic Terms in Objective ^nobjquadnz	39984
#Square Terms in Objective ^{nobjquaddiagnz}	10000
#Constraints ^ncons	2500
#Linear Constraints ^nlincons	2500
#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	7499
#Nonlinear Nonzeros in Jacobian ^{njacobiannlnz}	0
#Nonzeros in (Upper-Left) Hessian of Lagrangian ^{nlaghessiannz}	69968
#Nonzeros in Diagonal of Hessian of Lagrangian ^{nlaghessiandiagnz}	10000
#Blocks in Hessian of Lagrangian ^{nlaghessianblocks}	5
Minimal blocksize in Hessian of Lagrangian ^{laghessianminblocksize}	16
Maximal blocksize in Hessian of Lagrangian ^{laghessianmaxblocksize}	8000
Average blocksize in Hessian of Lagrangian ^{laghessianavgblocksize}	2000.0
Sparsity Jacobian
Sparsity Lag. Hessian