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diff --git a/optimization/test_functions/extended_powell_gradient1.m b/optimization/test_functions/extended_powell_gradient1.m
new file mode 100644
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+++ b/optimization/test_functions/extended_powell_gradient1.m
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+function g = extended_powell_gradient1(x)
+  ##
+  ## The gradient of the extended Powell function. See
+  ## extended_powell1.m for more information.
+  ##
+  ## Since the number of arguments is variable, we take a vector
+  ## instead of its individual components.
+  ##
+  n = length(x);
+
+  if (odd(n))
+    ## 'm' below must be an integer.
+    g = NA;
+    return;
+  end
+
+  m = n / 4;
+  g = zeros(n, 1);
+
+  % The extended Powell is simply a sum of Powell
+  % applications.
+  for k = [ 1 : m ]
+    y1 = x(4*k - 3);
+    y2 = x(4*k - 2);
+    y3 = x(4*k - 1);
+    y4 = x(4*k);
+
+    g_k = powell_gradient(y1, y2, y3, y4);
+
+    for i = [ 1 : 4 ]
+      g(4*(k-1) + i) = g(4*(k-1) + i) + g_k(i);
+    end
+
+  end
+end