Experimental data reconstruction method based on nonlinear equation system and optimized modeling

Abstract:

This paper discusses the reconstruction of experimental data of the discrete measurement of γ-ray counting. By establishing the matrix model for the forward direction computation of experimental data, we firstly transform this engineering problem into a mathematical problem of solving indefinite nonlinear equations. Then we present two reconstruction models respectively based on the optimization objective function and the Lagrange multiplier method to find the optimal solution. Numerical experiments show that both reconstruction models can obtain closer results to the true value than the detection value, and the reconstruction result of the second model is more accurate than the first one. Moreover, the second reconstruction model allows the direct using of initial value of the iterative solver.