Manuals >User's Guide >Optimizing
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Optimization Output

Sample optimization output from the different types of optimization modes are shown in the following 4 tables.

Table 25 Levenberg-Marquardt Optimization 
 ======= Levenberg-Marquardt Optimization Selected ========
 Number of data points used: 40 of 40 
 ========== Initial Values ========== 
 Parameter 
 Value
 --------- 
 -----
 TRAN.BR 
 60.00
 TRAN.IKR 
 10.00m
 TRAN.ISC 
 2.000f
 TRAN.NC 
 1.400
 PAR.IS 
 20.00a
 MAX error = 282.1 %     RMS error = 212.5 % 
 ========== Jacobian Calculation ========== 
 Parameter 
 Value
 Sensitivity
 --------- 
 -----
 -----------
 TRAN.BR 
 60.00
 129.4m
 TRAN.IKR 
 10.00m
 58.54m
 TRAN.ISC 
 2.000f
 59.54m
 TRAN.NC 
 1.400
 558.4m
 PAR.IS 
 20.00a
 194.1m
 ========== Iteration 1 Results ========== 
 Parameter 
 Value
 Initial
 --------- 
 -----
 -------
 TRAN.BR 
 6.158
 60.00
 TRAN.IKR 
 11.41m
 10.00m
 TRAN.ISC 
 1.833f
 2.000f
 TRAN.NC 
 1.343
 1.400
 PAR.IS 
 23.00a
 20.00a
 MAX error = 25.28 %     RMS error = 10.40 % 
 ========== Rank One Update ========== 
 Parameter
 Value
 Sensitivity
 --------- 
 -----
 -----------
 TRAN.BR 
 6.158
 32.94m
 TRAN.IKR 
 11.41m
 71.99m
 TRAN.ISC 
 1.833f
 59.35m
 TRAN.NC 
 1.343
 589.6m
 PAR.IS 
 23.00a
 246.1m
 Number of function evaluations :  11 
 Number of jacobian evaluations :   1 
 The Levenberg-Marquardt parameter is      :  113.4m 
 Exit Status: Parameter improvement less than specified 
tolerance 
 ========== Calculating Sensitivities ========== 
 ========== Jacobian Calculation ========== 
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 Sensitivity
 --------- 
 -----
 -------
 -----------
 TRAN.BR 
 6.158
 60.00
 279.9m
 TRAN.IKR 
 11.41m
 10.00m
 49.47m
 TRAN.ISC 
 1.833f
 2.000f
 64.72m
 TRAN.NC 
 1.343
 1.400
 537.0m
 PAR.IS 23.00a 20.00a 68.93m 
 Initial least square norm of the residuals:  13.44  
 Final   least square norm of the residuals:  657.9m 
 Final MAX error = 25.28 %     Final RMS error = 10.40 % 

Table 26 Random Optimization 
 ========== Random Optimization Selected ========== 
 Number of data points used: 40 of 40 
 ========== Initial Values ========== 
 Parameter 
 Value
 --------- 
 -----
 TRAN.BR 
 60.00
 TRAN.IKR 
 10.00m
 TRAN.ISC 
 2.000f
 TRAN.NC 
 1.400
 PAR.IS 
 20.00a
 Initial: RMS Error = 212.5 % 
 ========== Random Iteration 1 ========== 
 ========== Random Guess ========== 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 95.37
 60.00
 60.00
 TRAN.IKR 
 43.61m
 10.00m
 10.00m
 TRAN.ISC 
 3.581p
 2.000f
 2.000f
 TRAN.NC 
 1.697
 1.400
 1.400
 PAR.IS 
 14.26a
 20.00a
 20.00a
 Best:  RMS Error = 212.5 % 
 Guess: RMS Error = 117.8 % 
 Guess is Accepted 
 ========== Random Iteration 2 ========== 
 ========== Random Guess ========== 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 69.30
 95.37
 60.00
 TRAN.IKR 
 34.88m
 43.61m
 10.00m
 TRAN.ISC 
 6.828p
 3.581p
 2.000f
 TRAN.NC 
 1.823
 1.697
 1.400
 PAR.IS 
 3.897a
 14.26a
 20.00a
 Best:  RMS Error = 117.8 % 
 Guess: RMS Error = 175.3 % 
 Guess is Rejected 
 ========== Opposite Guess ========== 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 60.05
 95.37
 60.00
 TRAN.IKR 
 52.35m
 43.61m
 10.00m
 TRAN.ISC 
 333.4f
 3.581p
 2.000f
 TRAN.NC 
 1.572
 1.697
 1.400
 PAR.IS 
 30.42a
 14.26a
 20.00a
 Best:  RMS Error = 117.8 % 
 Guess: RMS Error = 140.1 % 
 Guess is Rejected 
 ========== Random Iteration 3 ========== 
 ========== Random Guess ========== 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 77.96
 95.37
 60.00
 TRAN.IKR 
 29.36m
 43.61m
 10.00m
 TRAN.ISC 
 4.618p
 3.581p
 2.000f
 TRAN.NC 
 1.637
 1.697
 1.400
 PAR.IS 
 40.01a
 14.26a
 20.00a
 Best:  RMS Error = 117.8 % 
 Guess: RMS Error = 72.33 % 
 Guess is Accepted 
 ========== Random Iteration 4 ========== 
 ========== Random Guess ========== 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 94.53
 77.96
 60.00
 TRAN.IKR 
 34.09m
 29.36m
 10.00m
 TRAN.ISC 
 4.766p
 4.618p
 2.000f
 TRAN.NC 
 1.437
 1.637
 1.400
 PAR.IS 
 25.31a
 40.01a
 20.00a
 Best:  RMS Error = 72.33 % 
 Guess: RMS Error = 94.69 % 
 Guess is Rejected 
 ========== Opposite Guess ========== 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 ------- 
 TRAN.BR 
 61.39
 77.96
 60.00
 TRAN.IKR 
 24.64m
 29.36m
 10.00m
 TRAN.ISC 
 4.469p
 4.618p
 2.000f
 TRAN.NC 
 1.949
 1.637
 1.400
 PAR.IS 
 54.71a
 40.01a
 20.00a
 Best:  RMS Error = 72.33 % 
 Guess: RMS Error = 145.9 % 
 Guess is Rejected 
 ========== Random Iteration 5 ==========
 ========== Random Guess ========== 
 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 81.24
 77.96
 60.00
 TRAN.IKR 
 57.93m
 29.36m
 10.00m
 TRAN.ISC 
 4.534p
 4.618p
 2.000f
 TRAN.NC 
 1.398
 1.637
 1.400
 PAR.IS 
 18.04a
 40.01a
 20.00a
 Best:  RMS Error = 72.33 % 
 Guess: RMS Error = 96.93 % 
 Guess is Rejected 
 ========== Opposite Guess ========== 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 37.16
 77.96
 60.00
 TRAN.IKR 
 789.0u
 29.36m
 10.00m
 TRAN.ISC 
 4.702p
 4.618p
 2.000f
 TRAN.NC 
 1.876
 1.637
 1.400
 PAR.IS 
 61.98a
 40.01a
 20.00a
 Best:  RMS Error = 72.33 % 
 Guess: RMS Error = 47.70 % 
 Guess is Accepted 
 Random Opt Exit Status: RMS error is less than specified value
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 --------- 
 -----
 -------
 TRAN.BR 
 37.16
 60.00
 TRAN.IKR 
 789.0u
 10.00m
 TRAN.ISC 
 4.702p
 2.000f
 TRAN.NC 
 1.876
 1.400
 PAR.IS 
 61.98a
 20.00a
 Final: RMS Error = 47.70 %

Table 27 Hybrid (Random/LM) Optimization 
 ======= Hybrid (Random/LM) Optimization Selected ======== 
 Number of data points used: 40 of 40 
 ========== Levenberg-Marquardt Optimization 1 ========== 
 ========== Initial Values ========== 
 Parameter 
 Value
 --------- 
 -----
 TRAN.BR 
 4.103
 TRAN.IKR 
 147.3u
 TRAN.ISC 
 15.69f
 TRAN.NC 
 1.857
 PAR.IS 
 30.00a
 MAX error = 112.1 %     RMS error = 64.02 % 
 ========== Jacobian Calculation ========== 
 Parameter 
 Value
 Sensitivity
 --------- 
 -----
 -----------
 TRAN.BR 
 4.103
 344.8m
 TRAN.IKR 
 147.3u
 42.41m
 TRAN.ISC 
 15.69f
 68.02m
 TRAN.NC 
 1.857
 413.5m
 PAR.IS 
 30.00a
 131.2m
 ========== Iteration 1 Results ========== 
 Parameter 
 Value
 Initial
 --------- 
 -----
 -------
 TRAN.BR 
 6.585
 4.103
 TRAN.IKR 
 1.899m
 147.3u
 TRAN.ISC 
 23.57f
 15.69f
 TRAN.NC 
 2.000
 1.857
 PAR.IS 
 69.83a
 30.00a
 MAX error = 62.76 %     RMS error = 38.96 % 
 ========== Jacobian Calculation ========== 
 Parameter 
 Value
 Sensitivity
 --------- 
 -----
 -----------
 TRAN.BR 
 6.585
 320.6m
 TRAN.IKR 
 1.899m
 122.6m
 TRAN.ISC 
 23.57f
 34.06m
 TRAN.NC 
 2.000
 261.9m
 PAR.IS 
 69.83a
 260.8m
 ========== Iteration 2 Results ========== 
 Parameter 
 Value
 Initial
 --------- 
 -----
 -------
 TRAN.BR 
 8.074
 4.103
 TRAN.IKR 
 2.251m
 147.3u
 TRAN.ISC 
 100.0a
 15.69f
 TRAN.NC 
 1.593
 1.857
 PAR.IS 
 68.88a
 30.00a
 MAX error = 48.74 %     RMS error = 30.00 %   
 Number of function evaluations :  16 
 Number of jacobian evaluations :   2 
 The Levenberg-Marquardt parameter is      :  0.000  
 Exit Status: No minimum was reached after specified 
function evaluations
 ========== Calculating Sensitivities ========== 
 ========== Jacobian Calculation ========== 
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 Sensitivity
 --------- 
 -----
 -------
 -----------
 TRAN.BR 
 8.074
 4.103
 409.0m
 TRAN.IKR 
 2.251m
 147.3u
 150.5m
 TRAN.ISC 
 100.0a
 15.69f
 2.273m
 TRAN.NC 
 1.593
 1.857
 23.20m
 PAR.IS 68.88a 30.00a 415.1m
 Initial least square norm of the residuals:  4.049
 Final   least square norm of the residuals:  1.897
 Final MAX error = 48.74 %     Final RMS error = 30.00 % 
 ========== Random Iteration 1 ========== 
 ========== Random Guess ========== 
 ========== Levenberg-Marquardt Optimization 2 ========== 
 .
 .
 .
 Number of function evaluations :  10 
 Number of jacobian evaluations :   1 
 The Levenberg-Marquardt parameter is      :  30.63m 
 Exit Status: No minimum was reached after specified 
function evaluations
 ========== Calculating Sensitivities ========== 
 ========== Jacobian Calculation ========== 
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 Sensitivity
 --------- 
 -----
 -------
 -----------
 TRAN.BR 
 43.45
 43.45
 2.783m
 TRAN.IKR 
 35.86m
 35.86m
 7.565m
 TRAN.ISC 
 3.579p
 3.579p
 75.31m
 TRAN.NC 
 1.504
 1.504
 912.1m
 PAR.IS 36.62a 36.62a 2.212m
 Initial least square norm of the residuals:  5.369  
 Final   least square norm of the residuals:  5.369  
 Final MAX error = 115.4 %     Final RMS error = 84.89 % 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 43.45
 8.074
 4.103
 TRAN.IKR 
 35.86m
 2.251m
 147.3u
 TRAN.ISC 
 3.579p
 100.0a
 15.69f
 TRAN.NC 
 1.504
 1.593
 1.857
 PAR.IS 
 36.62a
 68.88a
 30.00a
 Best:  RMS Error = 30.00 % 
 Guess: RMS Error = 84.89 % 
 Guess is Rejected 
 ========== Opposite Guess ========== 
 ========== Levenberg-Marquardt Optimization 3 ========== 
 .
 .
 .
 Number of function evaluations :  16 
 Number of jacobian evaluations :   2 
 The Levenberg-Marquardt parameter is      :  7.043u 
 Exit Status: No minimum was reached after specified 
function evaluations 
 ========== Calculating Sensitivities ========== 
 ========== Jacobian Calculation ========== 
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 Sensitivity
 --------- 
 -----
 -------
 -----------
 TRAN.BR 
 10.74
 29.30
 232.6m
 TRAN.IKR 
 2.566m
 31.56m
 133.7m
 TRAN.ISC 
 685.6a
 3.579p
 41.35m
 TRAN.NC 
 1.330
 1.969
 352.0m
 PAR.IS 60.53a 98.86a 240.4m
 Initial least square norm of the residuals:  6.191  
 Final   least square norm of the residuals:  1.016  
 Final MAX error = 28.41 %     Final RMS error = 16.06 % 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 10.74
 8.074
 4.103
 TRAN.IKR 
 2.566m
 2.251m
 147.3u
 TRAN.ISC 
 685.6a
 100.0a
 15.69f
 TRAN.NC 
 1.330
 1.593
 1.857
 PAR.IS 
 60.53a
 68.88a
 30.00a
 Best:  RMS Error = 30.00 % 
 Guess: RMS Error = 16.06 % 
 Guess is Accepted 
 ========== Random Iteration 2 ========== 
 ========== Random Guess ========== 
 ========== Levenberg-Marquardt Optimization 4 ========== 
 .
 .
 .
 Number of function evaluations :  10 
 Number of jacobian evaluations :   1 
 The Levenberg-Marquardt parameter is      :  109.8m 
 Exit Status: No minimum was reached after specified 
function evaluations 
 ========== Calculating Sensitivities ========== 
 ========== Jacobian Calculation ========== 
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 Sensitivity
 --------- 
 -----
 -------
 -----------
 TRAN.BR 
 10.61
 46.07
 11.34m
 TRAN.IKR 
 5.738m
 6.370m
 13.45m
 TRAN.ISC 
 3.104p
 3.248p
 62.64m
 TRAN.NC 
 1.458
 1.456
 910.5m
 PAR.IS            13.78a 44.37a 2.034m         
 Initial least square norm of the residuals:  5.826  
 Final   least square norm of the residuals:  5.810  
 Final MAX error = 122.7 %     Final RMS error = 91.87 % 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 10.61
 10.74
 4.103
 TRAN.IKR 
 5.738m
 2.566m
 147.3u
 TRAN.ISC 
 3.104p
 685.6a
 15.69f
 TRAN.NC 
 1.458
 1.330
 1.857
 PAR.IS 
 13.78a
 60.53a
 30.00a
 Best:  RMS Error = 16.06 % 
 Guess: RMS Error = 91.87 % 
 Guess is Rejected 
 ========== Opposite Guess ========== 
 ========== Levenberg-Marquardt Optimization 5 ========== 
 .
 .
 .
 Number of function evaluations :  10 
 Number of jacobian evaluations :   1 
 The Levenberg-Marquardt parameter is      :  63.11m 
 Exit Status: No minimum was reached after specified 
function evaluations 
 ========== Calculating Sensitivities ========== 
 ========== Jacobian Calculation ========== 
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 Sensitivity
 --------- 
 -----
 -------
 -----------
 TRAN.BR 
 10.57
 26.59
 2.973m
 TRAN.IKR 
 10.32m
 11.30m
 5.854m
 TRAN.ISC 
 3.110p
 3.247p
 32.53m
 TRAN.NC 
 1.457
 1.456
 958.2m
 PAR.IS 
 1.000a
 76.69a
 430.0u
 Initial least square norm of the residuals:  5.805  
 Final   least square norm of the residuals:  5.762  
 Final MAX error = 122.1 %     Final RMS error = 91.10 % 
 Parameter 
 Guess
 Best
 Initial
 --------- 
 -----
 ----
 -------
 TRAN.BR 
 10.57
 10.74
 4.103
 TRAN.IKR 
 10.32m
 2.566m
 147.3u
 TRAN.ISC 
 3.110p
 685.6a
 15.69f
 TRAN.NC 
 1.457
 1.330
 1.857
 PAR.IS 
 1.000a
 60.53a
 30.00a
 Best:  RMS Error = 16.06 % 
 Guess: RMS Error = 91.10 % 
 Guess is Rejected 
 Random Opt Exit Status: Iteration limit reached 
 ========== Final Values ========== 
 Parameter 
 Value
 Initial
 --------- 
 -----
 -------
 TRAN.BR 
 10.74
 4.103
 TRAN.IKR 
 2.566m
 147.3u
 TRAN.ISC 
 685.6a
 15.69f
 TRAN.NC 
 1.330
 1.857
 PAR.IS 
 60.53a
 30.00a
 Final: RMS Error = 16.06 %

Table 28 Sensitivity Analysis
 ========== Sensitivity Analysis Selected ========== 
 Number of data points used: 40 of 40 
 ========== Calculating Sensitivities ========== 
 ========== Jacobian Calculation ========== 
 Parameter 
 Value
 Sensitivity
 --------- 
 -----
 -----------
 TRAN.BR 
 13.59
 146.0m
 TRAN.IKR 
 2.538m
 78.65m
 TRAN.ISC 
 7.568f
 40.64m
 TRAN.NC 
 1.575
 528.2m
 PAR.IS 
 59.03a
 206.5m


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