We examine condition numbers, preconditioners, and iterative methods for finite element discretizations of coercive PDEs in the context of the fundamental solvability result, the L...
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Anal...
Digital tomosynthesis imaging is becoming increasingly significant in a variety of medical imaging applications. Tomosynthesis imaging involves the acquisition of a series of proj...
Julianne Chung, James G. Nagy, Ioannis Sechopoulos
The graphics processing unit (GPU) is used to solve large linear systems derived from partial differential equations. The differential equations studied are strongly convection-...
Joseph M. Elble, Nikolaos V. Sahinidis, Panagiotis...
Preconditioned iterative methods are described for the solution of an elliptic partial differential equation over an unit square region with Robbins boundary conditions. Transform...
Electron tomography (ET) combines electron microscopy and the principles of tomographic imaging in order to reconstruct the threedimensional structure of complex biological specim...
In this paper we present a new one-parameter family of iterative methods to solve nonlinear equations which includes some well-known third-order methods as particular ones. The co...
We develop several iterative methods for computing generalized inverses using both first and second order optimization methods in C∗ -algebras. Known steepest descent iterative...
Iterative methods showed until now encouraging results to resolve shape from shading. This kind of methods generally work on synthetic images, and occasionally on real images, eve...
The convergence of iterative methods used to solve the linear systems arising in incompressible flow problems is sensitive to flow parameters such as the Reynolds number, time s...