QPLIB

A Library of Quadratic Programming Instances

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QPLIB_10022

Formats	gms lp mod qplib
Problem type ^probtype	LMQ
Solution point objective value ^solobjvalue	13560027.75000000 (gdx, sol)
Solution point infeasibility ^{solinfeasibility}	1.1642e-10
Donor ^donor	Fabio Furini and Antonio Frangioni
#Variables ^nvars	15000
#Binary Variables ^nbinvars	3000
#Integer Variables ^nintvars	0
#Bounded non-binary Variables ^nboundedvars	3000
#Variables with only one bound ^{nsingleboundedvars}	0
#Nonlinear Variables ^nnlvars	9000
#Nonlinear Binary Variables ^nnlbinvars	0
#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	9000
#Nonlinear Nonzeros in Objective ^nobjnlnz	0
#Quadratic Terms in Objective ^nobjquadnz	0
#Square Terms in Objective ^{nobjquaddiagnz}	0
#Constraints ^ncons	12155
#Linear Constraints ^nlincons	9155
#Quadratic Constraints ^nquadcons	3000
#Diagonal Quadratic Constraints ^{ndiagquadcons}	3000
Constraints curvature ^{conscurvature}	indefinite
#Convex Nonlinear Constraints ^{nconvexnlcons}	0
#Concave Nonlinear Constraints ^{nconcavenlcons}	0
#Indefinite Nonlinear Constraints ^{nindefinitenlcons}	3000
#Nonzeros in Jacobian ^njacobiannz	39000
#Nonlinear Nonzeros in Jacobian ^{njacobiannlnz}	9000
#Nonzeros in (Upper-Left) Hessian of Lagrangian ^{nlaghessiannz}	9000
#Nonzeros in Diagonal of Hessian of Lagrangian ^{nlaghessiandiagnz}	9000
#Blocks in Hessian of Lagrangian ^{nlaghessianblocks}	9000
Minimal blocksize in Hessian of Lagrangian ^{laghessianminblocksize}	1
Maximal blocksize in Hessian of Lagrangian ^{laghessianmaxblocksize}	1
Average blocksize in Hessian of Lagrangian ^{laghessianavgblocksize}	1.0
Sparsity Jacobian
Sparsity Lag. Hessian