I suppose the following is, strictly speaking, incorrect (even though versions thereof are often seen)
"The barrier is eliminated (in order) to enhance performance",
as this would imply that the barrier will, somehow, enhance performance, rather than its elimination. Possible corrections:
"The barrier is eliminated so that/in order that performance (may) be enhanced"
"We eliminate the barrier to enhance performance"
Am I correct, or is it a pedantic question?
Same issue here: "The method is proposed to estimate...", as a method cannot "estimate" anything.