The paper "Addition to: The quasi-Kronecker form for matrix pencils" (joint work with Thomas Berger) has been accepted for publication at SIAM Journal on Matrix Analysis and Applications (SIMAX). As is apparent from the title this is an addition to our recently published paper "The quasi-Kronecker form for matrix pencils", where we refine results concerning the Wong sequences and the quasi-Kronecker form. The preprint is available as a download in my Journals-Section.