  A comment has been recently posted on the arXiv (arXiv:1902.07504) that
discuss our recent work on encircling multiple exceptional points in Nat.
Commun. 9, 4808 (2018). In that comment, the authors claim that our approach is
prone to errors. In discussing their findings, they also indicate that a method
presented by their team in Phys. Rev. A 98, 023818 (2018) (presumed to give
correct results in all situations) was published prior to our work. First, we
would like to note that both their work and ours were posted on the arXiv
within a week from each other. Second and more importantly, as we will show
below, their analysis and conclusion concerning the validity of our approach as
presented in the comment article (arXiv:1902.07504) are not correct. As we will
demonstrate, a proper application of our method does indeed provide the correct
results.
