QPLIB

A Library of Quadratic Programming Instances

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QPLIB_10028

Formats	gms lp mod qplib
Problem type ^probtype	CMQ
Solution point objective value ^solobjvalue	125.06129300 (gdx, sol)
Solution point infeasibility ^{solinfeasibility}	3.5527e-15
Donor ^donor	Fabio Furini and Antonio Frangioni
#Variables ^nvars	2000
#Binary Variables ^nbinvars	400
#Integer Variables ^nintvars	0
#Bounded non-binary Variables ^nboundedvars	0
#Variables with only one bound ^{nsingleboundedvars}	400
#Nonlinear Variables ^nnlvars	1200
#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}	400
#Nonzeros in Objective ^nobjnz	800
#Nonlinear Nonzeros in Objective ^nobjnlnz	400
#Quadratic Terms in Objective ^nobjquadnz	80200
#Square Terms in Objective ^{nobjquaddiagnz}	400
#Constraints ^ncons	2003
#Linear Constraints ^nlincons	1603
#Quadratic Constraints ^nquadcons	400
#Diagonal Quadratic Constraints ^{ndiagquadcons}	400
Constraints curvature ^{conscurvature}	indefinite
#Convex Nonlinear Constraints ^{nconvexnlcons}	0
#Concave Nonlinear Constraints ^{nconcavenlcons}	0
#Indefinite Nonlinear Constraints ^{nindefinitenlcons}	400
#Nonzeros in Jacobian ^njacobiannz	6400
#Nonlinear Nonzeros in Jacobian ^{njacobiannlnz}	1200
#Nonzeros in (Upper-Left) Hessian of Lagrangian ^{nlaghessiannz}	160800
#Nonzeros in Diagonal of Hessian of Lagrangian ^{nlaghessiandiagnz}	1200
#Blocks in Hessian of Lagrangian ^{nlaghessianblocks}	801
Minimal blocksize in Hessian of Lagrangian ^{laghessianminblocksize}	1
Maximal blocksize in Hessian of Lagrangian ^{laghessianmaxblocksize}	400
Average blocksize in Hessian of Lagrangian ^{laghessianavgblocksize}	1.498127
Sparsity Jacobian
Sparsity Lag. Hessian