Errors in BOBYQAOptimizer when numberOfInterpolationPoints is greater than 
2*dim+1
----------------------------------------------------------------------------------

                 Key: MATH-728
                 URL: https://issues.apache.org/jira/browse/MATH-728
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 3.0
         Environment: Mac Java(TM) SE Runtime Environment (build 
1.6.0_29-b11-402-11M3527)

            Reporter: Bruce A Johnson


I've been having trouble getting BOBYQA to minimize a function (actually a 
non-linear least squares fit) so as one change I increased the number of 
interpolation points.  It seems that anything larger than 2*dim+1 causes an 
error (typically at

line 1662
                   interpolationPoints.setEntry(nfm, ipt, 
interpolationPoints.getEntry(ipt, ipt));

I'm guessing there is an off by one error in the translation from FORTRAN.  
Changing the BOBYQAOptimizerTest as follows (increasing number of interpolation 
points by one) will cause failures.

Bruce



Index: 
src/test/java/org/apache/commons/math/optimization/direct/BOBYQAOptimizerTest.java
===================================================================
--- 
src/test/java/org/apache/commons/math/optimization/direct/BOBYQAOptimizerTest.java
  (revision 1221065)
+++ 
src/test/java/org/apache/commons/math/optimization/direct/BOBYQAOptimizerTest.java
  (working copy)
@@ -258,7 +258,7 @@
 //        RealPointValuePair result = optim.optimize(100000, func, goal, 
startPoint);
         final double[] lB = boundaries == null ? null : boundaries[0];
         final double[] uB = boundaries == null ? null : boundaries[1];
-        BOBYQAOptimizer optim = new BOBYQAOptimizer(2 * dim + 1);
+        BOBYQAOptimizer optim = new BOBYQAOptimizer(2 * dim + 2);
         RealPointValuePair result = optim.optimize(maxEvaluations, func, goal, 
startPoint, lB, uB);
 //        System.out.println(func.getClass().getName() + " = " 
 //              + optim.getEvaluations() + " f(");


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