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SIAMSC
2008
113views more  SIAMSC 2008»
15 years 6 months ago
Limited Data X-Ray Tomography Using Nonlinear Evolution Equations
A novel approach to the X-ray tomography problem with sparse projection data is proposed. Non-negativity of the X-ray attenuation coefficient is enforced by modelling it as max{(x)...
Ville Kolehmainen, Matti Lassas, Samuli Siltanen
SIAMSC
2008
104views more  SIAMSC 2008»
15 years 6 months ago
Deblurring Methods Using Antireflective Boundary Conditions
In this note we consider the numerical solution of selfadjoint deblurring problems on bounded intervals. For these problems it has recently been shown that appropriate modelling of...
Martin Christiansen, Martin Hanke
SIAMSC
2008
127views more  SIAMSC 2008»
15 years 6 months ago
On Diagonally Relaxed Orthogonal Projection Methods
Abstract. We propose and study a block-iterative projections method for solving linear equations and/or inequalities. The method allows diagonal component-wise relaxation in conjun...
Yair Censor, Tommy Elfving, Gabor T. Herman, Toura...
SIAMSC
2008
129views more  SIAMSC 2008»
15 years 6 months ago
Iterative Solution of Piecewise Linear Systems
The correct formulation of numerical models for free-surface hydrodynamics often requires the solution of special linear systems whose coefficient matrix is a piecewise constant fu...
Luigi Brugnano, Vincenzo Casulli
SIAMSC
2008
165views more  SIAMSC 2008»
15 years 6 months ago
Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
Abstract. A new iterative algorithm for the solution of minimization problems in infinitedimensional Hilbert spaces which involve sparsity constraints in form of p-penalties is pro...
Kristian Bredies, Dirk A. Lorenz