Inverse analysis of channel friction based on generalized inverse theory

According to generalized inverse theory and Backus-Gilbert inverse theory,singular value decomposition(SVD) and Newton-generalized inverse matrix were used to analyze the optimization orientation.The resolution matrix and covariance matrix was deduced,which could describe inversion results reliability.Theoretical analysis showed that the degree of convergence of Newton-generalized inverse optimal algorithm was second-order.During the computation procedure, Wiggins method was integrated into the optimization algorithm.Numerical simulation showed that noise can be suppressed effectively and inversion result approach genuine solution,when proper control parameter is used,and the method can improve numerical stability.