***
*** Reading XML file `input1.xml'...
*** Parameters are added to the stored list
*** Setting default values to type `SA'
***
------------------------------------------------------------------------------
*** 
*** ML_Epetra::MultiLevelPreconditioner
***
Matrix has 65536 rows and 326656 nonzeros, distributed over 1 process(es)
The linear system matrix is an Epetra_CrsMatrix
Default values for `SA'
Maximum number of levels = 10
Using increasing levels. Finest level  = 0, coarsest level = 9
Number of applications of the ML cycle = 1
Number of PDE equations = 1
USing ParMETIS 3.x
** Leaving column map of Main linear system matrix unchanged
Aggregation threshold = 0
Max coarse size = 128
Using `cg' scheme for eigen-computations
R and P smoothing : P = (I-\omega A) P_t, R = P^T
R and P smoothing : \omega = 1.333/lambda_max
ML_Gen_MultiLevelHierarchy (level 0) : Gen Restriction and Prolongator 
ML_Aggregate_Coarsen (level 0) begins
ML_Aggregate_CoarsenUncoupled : current level = 0
ML_Aggregate_CoarsenUncoupled : current eps = 0.000000e+00
Aggregation(UVB) : Total nonzeros = 326656 (Nrows=65536)
Aggregation(UC) : Phase 0 - no. of bdry pts  = 0 
Aggregation(UC) : Phase 1 - nodes aggregated = 54761 (65536)
Aggregation(UC) : Phase 1 - total aggregates = 11008 
Aggregation(UC_Phase2_3) : Phase 1 - nodes aggregated = 54761 
Aggregation(UC_Phase2_3) : Phase 1 - total aggregates = 11008
Aggregation(UC_Phase2_3) : Phase 2a- additional aggregates = 0
Aggregation(UC_Phase2_3) : Phase 2 - total aggregates = 11008
Aggregation(UC_Phase2_3) : Phase 2 - boundary nodes   = 0
Aggregation(UC_Phase2_3) : Phase 3 - leftovers = 0 and singletons = 0
Aggregation time 	= 9.375000e-02
Gen_Prolongator (level 0) : Max eigenvalue = 1.9705e+00

Prolongator/Restriction smoother (level 0) : damping factor #1 = 6.7646e-01
Prolongator/Restriction smoother (level 0) : ( = 1.3330e+00 / 1.9705e+00)

ML_Gen_MultilevelHierarchy: Projecting node coordinates from level 0 to level 1
ML_Gen_MultiLevelHierarchy: Projecting node coordinates from level 0 to level 1
ML_Gen_MultiLevelHierarchy (level 1) : Gen Restriction and Prolongator 
ML_Aggregate_Coarsen (level 1) begins
ML_Aggregate_CoarsenMIS : current level = 1
ML_Aggregate_CoarsenMIS : current eps = 0.000000e+00
Aggregation(MIS) : Total nonzeros = 98128 (Nrows=11008)
Aggregation(MIS) : Phase 1 - nodes aggregated = 10840 
Aggregation(MIS) : Phase 1 - total aggregates = 1227
Aggregation(MIS) : Phase 2a- additional aggregates = 0
Aggregation(MIS) : Phase 2 - total aggregates = 1227
Aggregation(MIS) : Phase 2 - boundary nodes   = 0
Aggregation(MIS) : Phase 3 - leftovers = 0 and singletons = 0
Communicating phase 2/3 info
Calling ML_Operator_UnAmalgamateAndDropWeak
Aggregation time 	= 1.562500e-01
Gen_Prolongator (level 1) : Max eigenvalue = 1.3888e+00

Prolongator/Restriction smoother (level 1) : damping factor #1 = 9.5983e-01
Prolongator/Restriction smoother (level 1) : ( = 1.3330e+00 / 1.3888e+00)

ML_Gen_MultilevelHierarchy: Projecting node coordinates from level 1 to level 2
ML_Gen_MultiLevelHierarchy: Projecting node coordinates from level 1 to level 2
ML_Gen_MultiLevelHierarchy (level 2) : Gen Restriction and Prolongator 
ML_Aggregate_Coarsen (level 2) begins
ML_Aggregate_CoarsenUncoupled : current level = 2
ML_Aggregate_CoarsenUncoupled : current eps = 0.000000e+00
Aggregation(UVB) : Total nonzeros = 11311 (Nrows=1227)
Aggregation(UC) : Phase 0 - no. of bdry pts  = 0 
Aggregation(UC) : Phase 1 - nodes aggregated = 1183 (1227)
Aggregation(UC) : Phase 1 - total aggregates = 140 
Aggregation(UC_Phase2_3) : Phase 1 - nodes aggregated = 1183 
Aggregation(UC_Phase2_3) : Phase 1 - total aggregates = 140
Aggregation(UC_Phase2_3) : Phase 2a- additional aggregates = 0
Aggregation(UC_Phase2_3) : Phase 2 - total aggregates = 140
Aggregation(UC_Phase2_3) : Phase 2 - boundary nodes   = 0
Aggregation(UC_Phase2_3) : Phase 3 - leftovers = 0 and singletons = 0
Aggregation time 	= -1.171875e-02
Gen_Prolongator (level 2) : Max eigenvalue = 1.4682e+00

Prolongator/Restriction smoother (level 2) : damping factor #1 = 9.0790e-01
Prolongator/Restriction smoother (level 2) : ( = 1.3330e+00 / 1.4682e+00)

ML_Gen_MultilevelHierarchy: Projecting node coordinates from level 2 to level 3
ML_Gen_MultiLevelHierarchy: Projecting node coordinates from level 2 to level 3
ML_Gen_MultiLevelHierarchy (level 3) : Gen Restriction and Prolongator 
ML_Aggregate_Coarsen (level 3) begins
ML_Aggregate_CoarsenMIS : current level = 3
ML_Aggregate_CoarsenMIS : current eps = 0.000000e+00
Aggregation(MIS) : Total nonzeros = 1266 (Nrows=140)
Aggregation(MIS) : Phase 1 - nodes aggregated = 127 
Aggregation(MIS) : Phase 1 - total aggregates = 16
Aggregation(MIS) : Phase 2a- additional aggregates = 0
Aggregation(MIS) : Phase 2 - total aggregates = 16
Aggregation(MIS) : Phase 2 - boundary nodes   = 0
Aggregation(MIS) : Phase 3 - leftovers = 0 and singletons = 0
Communicating phase 2/3 info
Calling ML_Operator_UnAmalgamateAndDropWeak
Aggregation time 	= 3.906250e-03
Gen_Prolongator (level 3) : Max eigenvalue = 1.4741e+00

Prolongator/Restriction smoother (level 3) : damping factor #1 = 9.0428e-01
Prolongator/Restriction smoother (level 3) : ( = 1.3330e+00 / 1.4741e+00)

ML_Gen_MultilevelHierarchy: Projecting node coordinates from level 3 to level 4
ML_Gen_MultiLevelHierarchy: Projecting node coordinates from level 3 to level 4
Smoothed Aggregation : operator complexity = 1.339308e+00.
Time to build the hierarchy = 0.527344 (s)
Number of actual levels : 5

Smoother (level 0) : # global rows = 65536, # estim. global nnz = 326656
Smoother (level 0) : Jacobi (sweeps=2,omega=1,both)
Smoother (level 0) : Setup time : 0.0078125 (s)

Smoother (level 1) : # global rows = 11008, # estim. global nnz = 98128
Smoother (level 1) : IFPACK, type=`ILU',
Smoother (level 1) : both,overlap=1
Smoother (level 1) : level-of-fill=-1,rel. threshold=1,abs. threshold=0
Smoother (level 1) : Setup time : 0.21875 (s)

Smoother (level 2) : # global rows = 1227, # estim. global nnz = 11311
Smoother (level 2) : ML symmetric Gauss-Seidel (sweeps=2,omega=1,both)
Smoother (level 2) : Setup time : 0.0078125 (s)

Smoother (level 3) : # global rows = 140, # estim. global nnz = 1266
Smoother (level 3) : MLS/Chebyshev, polynomial order = 2, alpha = 20, both
Smoother (level 3) : lambda_min = 0.0561536, lambda_max = 1.47411
Smoother (level 3) : Setup time : 0.0078125 (s)

Amesos (level 4) : NumGlobalRows = 16
Amesos (level 4) : NumGlobalNonzeros = 132
Amesos (level 4) : Fill-in = 51.5625 %
Amesos (level 4) : Building KLU
Amesos (level 4) : Time for factorization  = -0.0664062 (s)


sum n_i   / n_finest   = 1.18907
sum nnz_i / nnz_finest = 1.33931

Cumulative timing for construction so far: 
- for initial setup   = -0.00390625 (s)
- for hierarchy setup = 0.535156 (s)
- for smoothers setup = 0.242188 (s)
- for coarse setup    = -0.0546875 (s)
- for final setup     = 0.0078125 (s)
------------------------------------------------------------------------------

		*******************************************************
		***** Problem: Epetra::CrsMatrix
		***** Preconditioned CG solution
		***** ML (L=5, Jac_pre0/Jac_post0, ~/Amesos_KLU_4)
		***** No scaling
		*******************************************************

                iter:    0           residual = 1.000000e+00
                iter:    1           residual = 2.803491e-01
                iter:    2           residual = 1.296981e-01
                iter:    3           residual = 6.372648e-02
                iter:    4           residual = 3.093071e-02
                iter:    5           residual = 1.494984e-02
                iter:    6           residual = 7.161842e-03
                iter:    7           residual = 3.469757e-03
                iter:    8           residual = 1.657697e-03
                iter:    9           residual = 8.030204e-04
                iter:   10           residual = 3.925884e-04
                iter:   11           residual = 1.882197e-04
                iter:   12           residual = 9.074736e-05
                iter:   13           residual = 4.343604e-05
                iter:   14           residual = 2.092916e-05
                iter:   15           residual = 1.011820e-05
                iter:   16           residual = 4.906954e-06
                iter:   17           residual = 2.369136e-06
                iter:   18           residual = 1.144957e-06
                iter:   19           residual = 5.463483e-07
                iter:   20           residual = 2.607446e-07
                iter:   21           residual = 1.245444e-07
                iter:   22           residual = 5.951406e-08
                iter:   23           residual = 2.842843e-08
                iter:   24           residual = 1.356043e-08
                iter:   25           residual = 6.530161e-09


		Solution time: 1.117188 (sec.)
		total iterations: 25
------------------------------------------------------------------------------
   ML time information (seconds)          total          avg

   1- Construction                  =   0.765625    0.765625
   2- Preconditioner apply          =    1.03125
     a- first application(s) only   =  0.0234375   0.0234375
     b- remaining applications      =    1.00781    0.038762

   3- Total time required by ML so far is 1.79688 seconds
      (constr + all applications)
------------------------------------------------------------------------------
||b-Ax||_2 = 9.43635e-07
