Abstract: In this paper a F-norm minimization based sparse approximate inverse preconditioning for solving a class of matrix equations is given.Firstly,the effective preconditioner is find by the F-norm minimization based sparse approximate inverse preconditioning technique,then a algorithm is given by applying the obtained preconditioner in the orthogonal projection iteration method and the convergence of the algorithm is showed. Finally,a numerical example is presented to verify the effectiveness of the algorithm.

Key words:

Matrix equation, Orthogonal projection iterative algorithm , Preconditioning, Sparse approximate inverse