QPLIB

A Library of Quadratic Programming Instances

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QPLIB_1967

Formats	gms lp mod qplib
Problem type ^probtype	QCQ
Solution point objective value ^solobjvalue	-107.58134160 (gdx, sol)
Solution point infeasibility ^{solinfeasibility}	1.0881e-10
Donor ^donor	Nick Sahinidis
#Variables ^nvars	50
#Binary Variables ^nbinvars	0
#Integer Variables ^nintvars	0
#Bounded non-binary Variables ^nboundedvars	50
#Variables with only one bound ^{nsingleboundedvars}	0
#Nonlinear Variables ^nnlvars	50
#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}	25
#Positive eigenvalues in objective matrix ^{nobjquadposev}	25
#Nonzeros in Objective ^nobjnz	50
#Nonlinear Nonzeros in Objective ^nobjnlnz	50
#Quadratic Terms in Objective ^nobjquadnz	1272
#Square Terms in Objective ^{nobjquaddiagnz}	50
#Constraints ^ncons	75
#Linear Constraints ^nlincons	0
#Quadratic Constraints ^nquadcons	75
#Diagonal Quadratic Constraints ^{ndiagquadcons}	0
Constraints curvature ^{conscurvature}	indefinite
#Convex Nonlinear Constraints ^{nconvexnlcons}	0
#Concave Nonlinear Constraints ^{nconcavenlcons}	0
#Indefinite Nonlinear Constraints ^{nindefinitenlcons}	75
#Nonzeros in Jacobian ^njacobiannz	3750
#Nonlinear Nonzeros in Jacobian ^{njacobiannlnz}	3750
#Nonzeros in (Upper-Left) Hessian of Lagrangian ^{nlaghessiannz}	2500
#Nonzeros in Diagonal of Hessian of Lagrangian ^{nlaghessiandiagnz}	50
#Blocks in Hessian of Lagrangian ^{nlaghessianblocks}	1
Minimal blocksize in Hessian of Lagrangian ^{laghessianminblocksize}	50
Maximal blocksize in Hessian of Lagrangian ^{laghessianmaxblocksize}	50
Average blocksize in Hessian of Lagrangian ^{laghessianavgblocksize}	50.0
Sparsity Jacobian
Sparsity Lag. Hessian