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A reconstruction algorithm for unfolding the neutron energy spectrum has beendeveloped based on the potential reduction interior point. This algorithm canbe easily applied to the neutron energy spectrum reconstruction in the recoilproton method. We transform neutron energy spectrum unfolding problem into atypical nonnegative linear complementarity problem. The recoil proton energyspectrum and response matrix at angles of 0{\deg} and 30{\deg} are generated bythe Geant4 simulation toolkit. Several different neutron energy test spectrumsare also employed. It is found that this unfolding algorithm is stable andprovide efficiency accurate results.

Potential reduction interior point algorithm unfolding of neutron energy spectrum measured by recoil proton method