TimTrack: A matrix formalism for a fast time and track reconstruction with timing detectors

An easy and fast matrix formalism for the tracking of charged particles through timing detectors is presented. The method is based on the least squares method and works directly with the first level data, that is, positions and readout times provided by timing detectors. In one step it provides the coordinates, the slopes, the velocity and an offset time at a given reference plane. The formalism is applied to some examples.