Basic harness for testing NIST problems.

Change-Id: I5baaa24dbf0506ceedf4a9be4ed17c84974d71a1
2026-08-29 08:34:37 +08:00 · 2012-08-29 18:18:48 -07:00
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+NIST/ITL StRD
+Dataset Name:  MGH09             (MGH09.dat)
+
+File Format:   ASCII
+               Starting Values   (lines 41 to 44)
+               Certified Values  (lines 41 to 49)
+               Data              (lines 61 to 71)
+
+Procedure:     Nonlinear Least Squares Regression
+
+Description:   This problem was found to be difficult for some very 
+               good algorithms.  There is a local minimum at (+inf,
+               -14.07..., -inf, -inf) with final sum of squares 
+               0.00102734....
+
+               See More, J. J., Garbow, B. S., and Hillstrom, K. E. 
+               (1981).  Testing unconstrained optimization software.
+               ACM Transactions on Mathematical Software. 7(1): 
+               pp. 17-41.
+
+Reference:     Kowalik, J.S., and M. R. Osborne, (1978).  
+               Methods for Unconstrained Optimization Problems.  
+               New York, NY:  Elsevier North-Holland.
+
+Data:          1 Response  (y)
+               1 Predictor (x)
+               11 Observations
+               Higher Level of Difficulty
+               Generated Data
+ 
+Model:         Rational Class (linear/quadratic)
+               4 Parameters (b1 to b4)
+ 
+               y = b1*(x**2+x*b2) / (x**2+x*b3+b4)  +  e
+ 
+
+ 
+          Starting values                  Certified Values
+
+        Start 1     Start 2           Parameter     Standard Deviation
+  b1 =   25          0.25          1.9280693458E-01  1.1435312227E-02
+  b2 =   39          0.39          1.9128232873E-01  1.9633220911E-01
+  b3 =   41.5        0.415         1.2305650693E-01  8.0842031232E-02
+  b4 =   39          0.39          1.3606233068E-01  9.0025542308E-02
+
+Residual Sum of Squares:                    3.0750560385E-04
+Residual Standard Deviation:                6.6279236551E-03
+Degrees of Freedom:                                7
+Number of Observations:                           11
+ 
+ 
+
+
+
+
+
+ 
+ 
+ 
+Data:  y               x
+       1.957000E-01    4.000000E+00
+       1.947000E-01    2.000000E+00
+       1.735000E-01    1.000000E+00
+       1.600000E-01    5.000000E-01
+       8.440000E-02    2.500000E-01
+       6.270000E-02    1.670000E-01
+       4.560000E-02    1.250000E-01
+       3.420000E-02    1.000000E-01
+       3.230000E-02    8.330000E-02
+       2.350000E-02    7.140000E-02
+       2.460000E-02    6.250000E-02