Deformation of Jacobi-Davidson Method and Preconditioning Technique

Abstract

Using augmented matrix to solve the correction equations in Jacobi-Davidson (JD) method, the more effective deformation of Jacobi-Davidson (DJD) method is obtained. Based on the limitations of convergence of the Jacobi-Davidson method, and combined with the convergence property of the preconditioning technique, the application of the preconditioning technique to the Jacobi-Davidson method is studied to accelerate the convergence rate, and the corresponding theory analysis is presented. The analysis of the theory and the resultsof the numerical experiment show that the preconditioning technique to the Jacobi-Davidson is effective.