The results of bibliometric studies provided by bibliometric research groups, e.g. the Centre for Science and Technology Studies (CWTS) and the Institute for Research Information and Quality Assurance (iFQ), are often used in the process of research assessment. Their databases use Web of Science (WoS) citation data, which they match according to their own matching algorithms - in the case of CWTS for standard usage in their studies and in the case of iFQ on an experimental basis. Since the problem of non-matched citations in WoS persists because of inaccuracies in the references or inaccuracies introduced in the data extraction process, it is important to ascertain how well these inaccuracies are rectified in these citation matching algorithms. This paper evaluates the algorithms of CWTS and iFQ in comparison to WoS in a quantitative and a qualitative analysis. The analysis builds upon the methodology and the manually verified corpus of a previous study. The algorithm of CWTS performs best, closely followed by that of iFQ. The WoS algorithm still performs quite well (F1 score: 96.41 percent), but shows deficits in matching references containing inaccuracies. An additional problem is posed by incorrectly provided cited reference information in source articles by WoS. ; Comment: 28 pages, 7 tables, 5 figures. The paper is accepted for publication in the Journal of the Association for Information Science and Technology (JASIST)