No. 26 (00108) Family name : Speer Given name : Thomas Affiliation : University of Zurich, Switzerland Abbreviation : E-mail address : Thomas.Speer@cern.ch Title : Vertex fitting with a Gaussian-sum filter Authors : R. Fruehwirth and T.Speer Abstract : A vertex fit algorithm was developed based on the Gaussian-sum filter (GSF) and implemented in the framework of the CMS reconstruction program. While linear least-square estimators are optimal in case all observation errors are Gaussian distributed, a GSF offers a better treatment of the non-Gaussian distribution of track parameter errors when these are modeled by Gaussian mixtures. Results and performance will be compared to the Kalman filter.