The present application relates to the technical field of prompt gamma
neutron activation analysis and non-
destructive testing of industrial materials, and particularly relates to a multi-element gamma spectrum quantitative inversion
algorithm based on polynomial forward and Newton iteration. The technical scheme comprises the following steps: obtaining a gamma spectrum obtained by
neutron activation measurement, and extracting a plurality of
gamma detection characteristic values corresponding to a plurality of elements; based on the plurality of
gamma detection characteristic values and the true
mass fraction of the corresponding sample elements, a polynomial forward model is established, and based on the
gamma detection characteristic values and the true
mass fraction of the elements, a direct polynomial inverse model is established. The present application effectively improves the accuracy of multi-element gamma spectrum quantitative inversion, enhances the robustness and convergence stability of the
algorithm under
complex materials, improves the generalization ability of the model to different matrix environments, and has good
engineering practicability.