Frobenius norm correction algorithm on target's polarization scattering matrix is studied in connection with radar target's reciprocity correction.The physics and application background of Frobenius norm correction algorithm are stated.Frobenius corrected matrix is achieved by using the Lagrange Multiplier Method.It's shown that there is a little difference of a positive scalar factor between Frobenius corrected scattering matrix and the optimal Cameron corrected ones.The Frobenius algorithm is proved to be a local optimal algorithm with the Frobenius corrected matrix being unique.Finally

characteristics of two kinds of correction algorithm are compared by experiment and conclusions in this paper are verified.