Entry to ALBETRA. Number of variables: 2 Number of constraints: 1 Lower bounds (first 2 components): -1.0000E+99 0.0000E+00 Upper bounds (first 2 components): 1.0000E+99 1.0000E+01 ALBETRA outer iteration: 0 Current point (first 2 components): 1.0000E+00 2.0000E+00 Updated Lagrange multipliers (first 1 components): 0.0000E+00 Updated penalty parameters (first 1 components): 1.0000E+01 Objective function value = -5.0000E+00 Sup-norm of the constraints = 3.0000E+00 Sup-norm of the projected gradient of the Lagrangian = 3.2000E+01 Up-to-now number of inner iterations = 0 Up-to-now number of Augmented Lagrangian function evaluations = 1 Up-to-now number of Augmented Lagrangian gradient evaluations = 1 Entry to BETRA. Number of variables: 2 Lower bounds (first 2 components): -1.0000E+99 0.0000E+00 Upper bounds (first 2 components): 1.0000E+99 1.0000E+01 Initial point (first 2 components): 1.0000E+00 2.0000E+00 BETRA iteration: 0 (This point was obtained by a frst iteration.) Current point (first 2 components): 1.0000E+00 2.0000E+00 Current gradient (first 2 components): -3.2000E+01 1.1600E+02 Current continuous projected gradient (first 2 components): 3.2000E+01 -2.0000E+00 Current free variables (first 2, total number 2): 1 2 Functional value: 4.0000E+01 Sup-norm of the projected gradient: 3.2000E+01 Sup-norm of the internal projected gradient: 3.2000E+01 Free variables at the current point: 2 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 0 Function evaluations: 1 Gradient evaluations: 1 Hessian evaluations: 0 Cholesky decompositions: 0 BETRA iteration: 1 (This point was obtained by a TR iteration.) Current point (first 2 components): 1.7222E+01 4.4444E+00 Current gradient (first 2 components): -5.9753E+01 2.1608E+02 Current continuous projected gradient (first 2 components): 5.9753E+01 -4.4444E+00 Current free variables (first 2, total number 2): 1 2 Functional value: -2.8433E+02 Sup-norm of the projected gradient: 5.9753E+01 Sup-norm of the internal projected gradient: 5.9753E+01 Free variables at the current point: 2 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 3 Gradient evaluations: 2 Hessian evaluations: 1 Cholesky decompositions: 1 BETRA iteration: 2 (This point was obtained by a TR iteration.) Current point (first 2 components): 1.2478E+02 1.0000E+01 Current gradient (first 2 components): -1.7863E+00 -4.9753E+03 Current continuous projected gradient (first 2 components): 1.7863E+00 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.2600E+04 Sup-norm of the projected gradient: 1.7863E+00 Sup-norm of the internal projected gradient: 1.7863E+00 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 2 Function evaluations: 8 Gradient evaluations: 4 Hessian evaluations: 2 Cholesky decompositions: 25 BETRA iteration: 3 (This point was obtained by a TR iteration.) Current point (first 2 components): 1.2500E+02 1.0000E+01 Current gradient (first 2 components): 0.0000E+00 -5.0200E+03 Current continuous projected gradient (first 2 components): 0.0000E+00 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.2600E+04 Sup-norm of the projected gradient: 0.0000E+00 Sup-norm of the internal projected gradient: 0.0000E+00 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 3 Function evaluations: 9 Gradient evaluations: 5 Hessian evaluations: 3 Cholesky decompositions: 27 Status of BETRA = 2 (Convergence to a second-order stationary point) BETRA iteration: 3 (Final point, obtained by a TR iteration.) Current point (first 2 components): 1.2500E+02 1.0000E+01 Current gradient (first 2 components): 0.0000E+00 -5.0200E+03 Current continuous projected gradient (first 2 components): 0.0000E+00 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.2600E+04 Sup-norm of the projected gradient: 0.0000E+00 Sup-norm of the internal projected gradient: 0.0000E+00 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 3 Function evaluations: 9 Gradient evaluations: 5 Hessian evaluations: 4 Cholesky decompositions: 28 The desired infeasibility improvement was not achieved ( 1.5000E+00). The penalty parameter will be increased multiplying by rhofrac = 1.0000E+01. ALBETRA outer iteration: 1 Current point (first 2 components): 1.2500E+02 1.0000E+01 Updated Lagrange multipliers (first 1 components): 2.5000E+02 Updated penalty parameters (first 1 components): 1.0000E+02 Objective function value = -1.5725E+04 Sup-norm of the constraints = 2.5000E+01 Sup-norm of the projected gradient of the Lagrangian = 0.0000E+00 Up-to-now number of inner iterations = 3 Up-to-now number of Augmented Lagrangian function evaluations = 11 Up-to-now number of Augmented Lagrangian gradient evaluations = 6 Entry to BETRA. Number of variables: 2 Lower bounds (first 2 components): -1.0000E+99 0.0000E+00 Upper bounds (first 2 components): 1.0000E+99 1.0000E+01 Initial point (first 2 components): 1.2500E+02 1.0000E+01 BETRA iteration: 0 (This point was obtained by a frst iteration.) Current point (first 2 components): 1.2500E+02 1.0000E+01 Current gradient (first 2 components): 2.5000E+03 -5.5020E+04 Current continuous projected gradient (first 2 components): -2.5000E+03 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: 2.1775E+04 Sup-norm of the projected gradient: 2.5000E+03 Sup-norm of the internal projected gradient: 2.5000E+03 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 0 Function evaluations: 1 Gradient evaluations: 1 Hessian evaluations: 0 Cholesky decompositions: 0 BETRA iteration: 1 (This point was obtained by a TR iteration.) Current point (first 2 components): 9.9490E+01 1.0000E+01 Current gradient (first 2 components): 2.2737E-13 -3.9996E+03 Current continuous projected gradient (first 2 components): -2.2737E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0113E+04 Sup-norm of the projected gradient: 2.2737E-13 Sup-norm of the internal projected gradient: 2.2737E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 1 Cholesky decompositions: 1 Status of BETRA = 2 (Convergence to a second-order stationary point) BETRA iteration: 1 (Final point, obtained by a TR iteration.) Current point (first 2 components): 9.9490E+01 1.0000E+01 Current gradient (first 2 components): 2.2737E-13 -3.9996E+03 Current continuous projected gradient (first 2 components): -2.2737E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0113E+04 Sup-norm of the projected gradient: 2.2737E-13 Sup-norm of the internal projected gradient: 2.2737E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 2 Cholesky decompositions: 2 Desired feasibility improvement was achieved, so, penalty parameter(s) will not be modified. ALBETRA outer iteration: 2 Current point (first 2 components): 9.9490E+01 1.0000E+01 Updated Lagrange multipliers (first 1 components): 1.9898E+02 Updated penalty parameters (first 1 components): 1.0000E+02 Objective function value = -9.9982E+03 Sup-norm of the constraints = 5.1020E-01 Sup-norm of the projected gradient of the Lagrangian = 2.2737E-13 Up-to-now number of inner iterations = 4 Up-to-now number of Augmented Lagrangian function evaluations = 14 Up-to-now number of Augmented Lagrangian gradient evaluations = 8 Entry to BETRA. Number of variables: 2 Lower bounds (first 2 components): -1.0000E+99 0.0000E+00 Upper bounds (first 2 components): 1.0000E+99 1.0000E+01 Initial point (first 2 components): 9.9490E+01 1.0000E+01 BETRA iteration: 0 (This point was obtained by a frst iteration.) Current point (first 2 components): 9.9490E+01 1.0000E+01 Current gradient (first 2 components): -5.1020E+01 -2.9792E+03 Current continuous projected gradient (first 2 components): 5.1020E+01 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0087E+04 Sup-norm of the projected gradient: 5.1020E+01 Sup-norm of the internal projected gradient: 5.1020E+01 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 0 Function evaluations: 1 Gradient evaluations: 1 Hessian evaluations: 0 Cholesky decompositions: 0 BETRA iteration: 1 (This point was obtained by a TR iteration.) Current point (first 2 components): 1.0001E+02 1.0000E+01 Current gradient (first 2 components): -2.5580E-13 -4.0204E+03 Current continuous projected gradient (first 2 components): 2.5580E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 2.5580E-13 Sup-norm of the internal projected gradient: 2.5580E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 1 Cholesky decompositions: 1 Status of BETRA = 2 (Convergence to a second-order stationary point) BETRA iteration: 1 (Final point, obtained by a TR iteration.) Current point (first 2 components): 1.0001E+02 1.0000E+01 Current gradient (first 2 components): -2.5580E-13 -4.0204E+03 Current continuous projected gradient (first 2 components): 2.5580E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 2.5580E-13 Sup-norm of the internal projected gradient: 2.5580E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 2 Cholesky decompositions: 2 Desired feasibility improvement was achieved, so, penalty parameter(s) will not be modified. ALBETRA outer iteration: 3 Current point (first 2 components): 1.0001E+02 1.0000E+01 Updated Lagrange multipliers (first 1 components): 2.0002E+02 Updated penalty parameters (first 1 components): 1.0000E+02 Objective function value = -1.0102E+04 Sup-norm of the constraints = 1.0412E-02 Sup-norm of the projected gradient of the Lagrangian = 2.5580E-13 Up-to-now number of inner iterations = 5 Up-to-now number of Augmented Lagrangian function evaluations = 17 Up-to-now number of Augmented Lagrangian gradient evaluations = 10 Entry to BETRA. Number of variables: 2 Lower bounds (first 2 components): -1.0000E+99 0.0000E+00 Upper bounds (first 2 components): 1.0000E+99 1.0000E+01 Initial point (first 2 components): 1.0001E+02 1.0000E+01 BETRA iteration: 0 (This point was obtained by a frst iteration.) Current point (first 2 components): 1.0001E+02 1.0000E+01 Current gradient (first 2 components): 1.0412E+00 -4.0412E+03 Current continuous projected gradient (first 2 components): -1.0412E+00 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 1.0412E+00 Sup-norm of the internal projected gradient: 1.0412E+00 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 0 Function evaluations: 1 Gradient evaluations: 1 Hessian evaluations: 0 Cholesky decompositions: 0 BETRA iteration: 1 (This point was obtained by a TR iteration.) Current point (first 2 components): 1.0000E+02 1.0000E+01 Current gradient (first 2 components): 3.1264E-13 -4.0200E+03 Current continuous projected gradient (first 2 components): -3.1264E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 3.1264E-13 Sup-norm of the internal projected gradient: 3.1264E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 1 Cholesky decompositions: 1 Status of BETRA = 2 (Convergence to a second-order stationary point) BETRA iteration: 1 (Final point, obtained by a TR iteration.) Current point (first 2 components): 1.0000E+02 1.0000E+01 Current gradient (first 2 components): 3.1264E-13 -4.0200E+03 Current continuous projected gradient (first 2 components): -3.1264E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 3.1264E-13 Sup-norm of the internal projected gradient: 3.1264E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 2 Cholesky decompositions: 2 Desired feasibility improvement was achieved, so, penalty parameter(s) will not be modified. ALBETRA outer iteration: 4 Current point (first 2 components): 1.0000E+02 1.0000E+01 Updated Lagrange multipliers (first 1 components): 2.0000E+02 Updated penalty parameters (first 1 components): 1.0000E+02 Objective function value = -1.0100E+04 Sup-norm of the constraints = 2.1250E-04 Sup-norm of the projected gradient of the Lagrangian = 3.1264E-13 Up-to-now number of inner iterations = 6 Up-to-now number of Augmented Lagrangian function evaluations = 20 Up-to-now number of Augmented Lagrangian gradient evaluations = 12 Entry to BETRA. Number of variables: 2 Lower bounds (first 2 components): -1.0000E+99 0.0000E+00 Upper bounds (first 2 components): 1.0000E+99 1.0000E+01 Initial point (first 2 components): 1.0000E+02 1.0000E+01 BETRA iteration: 0 (This point was obtained by a frst iteration.) Current point (first 2 components): 1.0000E+02 1.0000E+01 Current gradient (first 2 components): -2.1250E-02 -4.0196E+03 Current continuous projected gradient (first 2 components): 2.1250E-02 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 2.1250E-02 Sup-norm of the internal projected gradient: 2.1250E-02 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 0 Function evaluations: 1 Gradient evaluations: 1 Hessian evaluations: 0 Cholesky decompositions: 0 BETRA iteration: 1 (This point was obtained by a TR iteration.) Current point (first 2 components): 1.0000E+02 1.0000E+01 Current gradient (first 2 components): 3.1264E-13 -4.0200E+03 Current continuous projected gradient (first 2 components): -3.1264E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 3.1264E-13 Sup-norm of the internal projected gradient: 3.1264E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 1 Cholesky decompositions: 1 Status of BETRA = 2 (Convergence to a second-order stationary point) BETRA iteration: 1 (Final point, obtained by a TR iteration.) Current point (first 2 components): 1.0000E+02 1.0000E+01 Current gradient (first 2 components): 3.1264E-13 -4.0200E+03 Current continuous projected gradient (first 2 components): -3.1264E-13 0.0000E+00 Current free variables (first 1, total number 1): 1 Functional value: -1.0100E+04 Sup-norm of the projected gradient: 3.1264E-13 Sup-norm of the internal projected gradient: 3.1264E-13 Free variables at the current point: 1 (over a total of 2) Inner SPG iterations: 0 Global SPG iterations: 0 Trus-region iterations: 1 Function evaluations: 2 Gradient evaluations: 2 Hessian evaluations: 2 Cholesky decompositions: 2 Desired feasibility improvement was achieved, so, penalty parameter(s) will not be modified. ALBETRA outer iteration: 5 Current point (first 2 components): 1.0000E+02 1.0000E+01 Updated Lagrange multipliers (first 1 components): 2.0000E+02 Updated penalty parameters (first 1 components): 1.0000E+02 Objective function value = -1.0100E+04 Sup-norm of the constraints = 4.3367E-06 Sup-norm of the projected gradient of the Lagrangian = 3.1264E-13 Up-to-now number of inner iterations = 7 Up-to-now number of Augmented Lagrangian function evaluations = 23 Up-to-now number of Augmented Lagrangian gradient evaluations = 14 Flag of ALBETRA = 0 (Convergence with Sup-norm of the Lagrangian projected gradient smaller than 1.0000E-04, constraints Sup-norm smaller than 1.0000E-04, and largest complementarity violation smaller than 1.0000E-04)