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diff --git a/is_positive_definite.m b/is_positive_definite.m
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+function ipd = is_positive_definite(A)
+  % Returns true if A is positive-definite, and false otherwise. We
+  % perform a full Cholesky factorization, so this is not fast.
+
+  ipd = false;
+
+  [R,p] = chol(A);
+
+  if (p == 0)
+    % The error flag is not set.
+    ipd = true;
+  end
+end