I have discovered an error in my paper published in a journal. I am a PhD student and the original paper was published with my advisor and two other researchers from different universities. The correction of the error, which was a significant amount of work, but luckily ultimately did not change any of the conclusions, was done in collaboration with my advisor, but without almost any interaction from the two external coauthors of the original paper. They know about it, though, and agreed with the changes I made.
So my question is: Should the authors of a corrigendum always be the same as the ones for the original paper? If this matters, my field is numerical mathematics/scientific computing.