Modifications to the simplex-optimized adaptive kalman filter

New response functions for the simplex-optimized adaptive Kalman filter have been examined as a means of improving the estimation of known components in the presence of unknown components or other matrix effects. Four response functions based on the innovations sequence have been tested with respect to increasing the computational speed of the filter and reducing the estimation error for the quantitated components. The response function based on the area under the innovations sequence with a penalty function was found to provide the best estimates for synthetic data and ultraviolet-visible spectra.