By using the Tikhonov Regularization Method,the related techniques for the numerical inversion of black body radiation are discussed.The special interest focuses on the presentation and experiment of some new and hybrid algorithms,which generate a good starting-up strategy separately with Newton method and a 3-order-convergence iterative scheme of solving the Morozov discrepancy equation to determine the regularization parameter.The numerical test is also made to illustrate the high efficiency and good stability of the proposed algorithms.

Based on Tikhonov's Regularization theory and the theoretical formula of the Abel inversion, a discreted regularization algorithm is proposed for the numerical inversion of Abel transform by integrating the regularized treatment on numerical diffrentiation with the weighted Gauss-type integral. The numerical test and the comparision study are made and show that the algorithm possesses the advantages of high accuracy, good numerical stability and practicability.