An alternative quadrilinear decomposition algorithm for four-way calibration with application to analysis of four-way fluorescence excitation-emission-pH data array

► A new quadrilinear decomposition algorithm for four-way calibration is presented. ► Simulations and experiments show RSWAQLD has the feature of fast convergence. ► The proposed algorithm can resist the influence of the excess factors. ► The analysis of real four-way fluorescence data corroborated above-mentioned features.