Application Research of GMRES algorithm in dynamic light scattering Particles Size Distribution Inversion

摘要

For ill-posed inversion problem of dynamic light scattering (DLS), this paper is discusses DLS inversion of GMRES algorithm. Combining Tikhonov regularization inversion strategy with GMRES algorithm, a GMRES-TIK inversion algorithm is designed in this paper. The simulation datum was respectively inversed by two methods. The inversion results demonstrate that, correct inversion results can't obtained by GMRES algorithm, however inversion results of GMRES-TIK algorithm is reasonable under a certain noise level. Therefore, we can draw conclusions that GMRES algorithm can't directly used for DLS inversion, after combining Tikhonov regularization method, it can used for DLS inversion and has strong noise immunity.