Output of Box9903 with Kissing problem: Augmented Lagrangian method Gauss-Newton simplified Hessian used Dimension of the space: 4 Number of points: 25 Number of pairs of different points: 300 Number of nonlinear constraints: 325 Number of variables (including slack): 401 Number of variables of the nonlinear program: 401 Seed for the initial point: 237 Accuracy in the resolution of the subproblem: 1.0000000000000D-01 Acumenor: 0.50000000000000 relarm = 1.0000000000000D-04 absarm = 1.0000000000000D-06 Epsilon for projected gradient (initial/final): Epsinic: 1.0000000000000D-05 epsfin: 1.0000000000000D-05 If Initial epsilon is not Final epsilon, Epsilon is divided by 10.0000000000000 after each outer iteration. When it reaches final epsilon it is not divided anymore. If new feasibility < ratfea * Old feasibility we do not increase penalty parameter. ratfea = 1.0000000000000D-02 epsd= 1.0000000000000D-08 Maximum number of iterations at each call to Box: 100 Maximum number of iterations for quacan calls: 401 bont: 0. kbont: 1000 Initial penalty parameter: 10.0000000000000 Augmenting factor facra: 10.0000000000000 Parameter kauts: 1000 Parameter indivi: 0 OUTPUT OF BOX9903 Outer Augmented Lagrangian iteration : 0 (First 10) components of the current point: -0.10890604000000 0.85395078000000 -0.45461680000000 0.49883922000000 -0.18439316000000 -4.7985940000000D-02 0.28262888000000 -0.48054070000000 0.46715332000000 -5.8010600000000D-03 Value of the objective function: 4.5101960000000D-02 Value of the augmented Lagrangian function: 1156.2735260210 Maximum violation of nonlinear equality constraints : 2.4207201328172 Outer Augmented Lagrangian iteration : 1 (First 10) components of the current point: 0.16367344210532 0.75837542120078 -0.57967199726418 0.24382894432114 -0.40445350140072 -0.11703676578723 -6.8574097852261D-02 -0.90355024837850 0.72661160926951 0.19463749174884 (First 10) nonlinear equality multipliers: 1.5632491967565D-08 1.7244257347225D-02 2.0209683520740D-02 5.1270960810257D-08 1.0278011219889D-07 1.2701261028332D-02 6.4788218123724D-08 4.4483844880860D-03 1.8838153259537D-08 3.6845300144250D-08 Penalty parameters used for nonlinear equality constraints (first 10): 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 Maximum nonlinear equality penalty parameter used: 10.0000000000000 Minimum nonlinear equality penalty parameter used: 10.0000000000000 Diagnostic of BOX at this iteration: 0 Convergence epsilon used in Box: 1.0000000000000D-05 Total number of BOX-iterations: 45 Total number of function evaluations: 54 Total number of quacan-iterations: 7862 Total number of matrix-vector products: 8312 Value of the objective function: 0.53856314456037 Value of the augmented Lagrangian function: 0.54033417112606 Maximum violation of nonlinear equality constraints : 5.2678623950029D-03 Outer Augmented Lagrangian iteration : 2 (First 10) components of the current point: 0.18100027363303 0.76509816828048 -0.56972013240273 0.23974739494685 -0.39683887617298 -0.11098234607906 -8.9218753801448D-02 -0.90696604561574 0.74575391064819 0.18975694347908 (First 10) nonlinear equality multipliers: -2.7980895378477D-08 1.6604880869152D-02 2.0027770792443D-02 4.9015749237213D-08 1.2125259352125D-07 6.2725021571786D-03 -1.6306423988866D-08 7.3404658226173D-03 -6.1326776990001D-09 5.3507933639452D-08 Penalty parameters used for nonlinear equality constraints (first 10): 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 10.0000000000000 Maximum nonlinear equality penalty parameter used: 10.0000000000000 Minimum nonlinear equality penalty parameter used: 10.0000000000000 Diagnostic of BOX at this iteration: 0 Convergence epsilon used in Box: 1.0000000000000D-05 Total number of BOX-iterations: 58 Total number of function evaluations: 68 Total number of quacan-iterations: 9255 Total number of matrix-vector products: 9722 Value of the objective function: 0.54191010657116 Value of the augmented Lagrangian function: 0.54185867109903 Maximum violation of nonlinear equality constraints : 1.2109054874074D-03 Outer Augmented Lagrangian iteration : 3 (First 10) components of the current point: 0.17262403541346 0.75907870923643 -0.57861389682253 0.24342007918012 -0.39177370392022 -0.12149447156820 -8.5756791975929D-02 -0.90792018871386 0.74063217482374 0.19186276984978 (First 10) nonlinear equality multipliers: 2.7030266913641D-09 8.5611903996241D-03 1.6844418371589D-02 2.9641946674985D-08 5.3119738607776D-08 1.1673083310748D-02 -4.1868920552801D-08 5.8671165391855D-03 -2.6550787679547D-07 -1.9964082387247D-07 Penalty parameters used for nonlinear equality constraints (first 10): 100.000000000000 100.000000000000 100.000000000000 100.000000000000 100.000000000000 100.000000000000 100.000000000000 100.000000000000 100.000000000000 100.000000000000 Maximum nonlinear equality penalty parameter used: 100.000000000000 Minimum nonlinear equality penalty parameter used: 100.000000000000 Diagnostic of BOX at this iteration: 0 Convergence epsilon used in Box: 1.0000000000000D-05 Total number of BOX-iterations: 67 Total number of function evaluations: 78 Total number of quacan-iterations: 10606 Total number of matrix-vector products: 11115 Value of the objective function: 0.54194563600368 Value of the augmented Lagrangian function: 0.54194578285119 Maximum violation of nonlinear equality constraints : 9.7237648153836D-05 Outer Augmented Lagrangian iteration : 4 (First 10) components of the current point: 0.17357738233147 0.75928741957843 -0.57801835102557 0.24341819984769 -0.39212034690173 -0.12121590329853 -8.6028023220871D-02 -0.90782389566204 0.74079818615852 0.19136847234498 (First 10) nonlinear equality multipliers: -1.1091383367301D-08 3.5144944865662D-03 1.3950138238807D-02 -1.0721724397200D-07 -8.4254595522637D-08 1.2885732303081D-02 -1.3069397897247D-07 5.4228323057826D-03 -2.8530914852887D-07 -4.8441437527913D-08 Penalty parameters used for nonlinear equality constraints (first 10): 1000.00000000000 1000.00000000000 1000.00000000000 1000.00000000000 1000.00000000000 1000.00000000000 1000.00000000000 1000.00000000000 1000.00000000000 1000.00000000000 Maximum nonlinear equality penalty parameter used: 1000.00000000000 Minimum nonlinear equality penalty parameter used: 1000.00000000000 Diagnostic of BOX at this iteration: 0 Convergence epsilon used in Box: 1.0000000000000D-05 Total number of BOX-iterations: 73 Total number of function evaluations: 85 Total number of quacan-iterations: 11958 Total number of matrix-vector products: 12501 Value of the objective function: 0.54196034003957 Value of the augmented Lagrangian function: 0.54196137442969 Maximum violation of nonlinear equality constraints : 5.8165470270266D-06 Outer Augmented Lagrangian iteration : 5 (First 10) components of the current point: 0.17361453903382 0.75925559587733 -0.57803355633673 0.24344637642669 -0.39207423312302 -0.12127951653220 -8.6047265258401D-02 -0.90783530576887 0.74079049590612 0.19132373561110 (First 10) nonlinear equality multipliers: 1.4799017566958D-08 3.5161345879542D-03 1.3966529556000D-02 1.3129821674340D-08 -4.2986495474295D-08 1.2897608629669D-02 -6.7588902252780D-08 5.4313406420403D-03 1.4981754725696D-08 -4.7505519518154D-08 Penalty parameters used for nonlinear equality constraints (first 10): 10000.0000000000 10000.0000000000 10000.0000000000 10000.0000000000 10000.0000000000 10000.0000000000 10000.0000000000 10000.0000000000 10000.0000000000 10000.0000000000 Maximum nonlinear equality penalty parameter used: 10000.0000000000 Minimum nonlinear equality penalty parameter used: 10000.0000000000 Diagnostic of BOX at this iteration: 0 Convergence epsilon used in Box: 1.0000000000000D-05 Total number of BOX-iterations: 78 Total number of function evaluations: 91 Total number of quacan-iterations: 12563 Total number of matrix-vector products: 13111 Value of the objective function: 0.54196168372816 Value of the augmented Lagrangian function: 0.54196168324541 Maximum violation of nonlinear equality constraints : 3.5626824823609D-09 Feasibility was achieved. CPU time (seconds) = 29.520000457764 Initial point number 1 Minimum distance between two points: 0.95711891782928