Preconditioning of elliptic problems by approximation in the transform domain
Preconditioned conjugate gradient method is applied for solving linear systems Ax = b where the matrix A is the discretization matrix of second-order elliptic operators. In this paper, we consider the construction of the transform based preconditioner from the viewpoint of image compression. Given a smooth image, a major portion of the energy is concentrated in the low frequency regions after image transformation. We can view the matrix A as an image and construct the transformed based...[Show more]
|Collections||ANU Research Publications|
|TR-CS-97-12.pdf||293.24 kB||Adobe PDF|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.