Model-independent beam dynamics analysis

Using a singular value decomposition of a beam line matrix, composed of man y beam position measurements for a large number of pulses, together with th e measurement of pulse-by-pulse beam properties or machine attributes, the contributions of each variable to the beam centroid motion can be identifie d with a gnarly improved resolution. The eigenvalues above the noise floor determine the number of significant physical variables. This method is appl icable to storage rings, linear accelerators, and any system involving a nu mber of sources and a larger number of sensors with unknown correlations. A pplications are presented from the Stanford Linear Collider.