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SIAMREV
2010
119views more  SIAMREV 2010»
13 years 7 months ago
From Functional Analysis to Iterative Methods
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...
Robert C. Kirby
NA
2010
235views more  NA 2010»
13 years 7 months ago
On new iterative method for solving systems of nonlinear equations
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...
Fadi Awawdeh
SIAMIS
2010
123views more  SIAMIS 2010»
13 years 10 months ago
Numerical Algorithms for Polyenergetic Digital Breast Tomosynthesis Reconstruction
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
PC
2010
145views Management» more  PC 2010»
13 years 11 months ago
GPU computing with Kaczmarz's and other iterative algorithms for linear systems
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...
AMC
2005
123views more  AMC 2005»
14 years 10 days ago
Iterative methods for Robbins problems
Preconditioned iterative methods are described for the solution of an elliptic partial differential equation over an unit square region with Robbins boundary conditions. Transform...
Andy C. Ho, Michael K. Ng
JPDC
2008
138views more  JPDC 2008»
14 years 12 days ago
Efficient parallel implementation of iterative reconstruction algorithms for electron tomography
Electron tomography (ET) combines electron microscopy and the principles of tomographic imaging in order to reconstruct the threedimensional structure of complex biological specim...
José-Jesús Fernández, Dan Gor...
AMC
2007
95views more  AMC 2007»
14 years 17 days ago
A one-parameter family of third-order methods to solve nonlinear equations
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...
Changbum Chun
AMC
2007
89views more  AMC 2007»
14 years 17 days ago
Iterative methods for computing generalized inverses
We develop several iterative methods for computing generalized inverses using both first and second order optimization methods in C∗ -algebras. Known steepest descent iterative...
Dragan S. Djordjevic
ICIAP
1999
ACM
14 years 4 months ago
Creation of Real Images which are Valid for the Assumptions Made in Shape from Shading
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...
Pascal Daniel, Jean-Denis Durou
IPPS
2002
IEEE
14 years 5 months ago
A High Performance Algorithm for Incompressible Flows Using Local Solenoidal Functions
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...
Sreekanth R. Sambavaram, Vivek Sarin