Numerical approach for a relaxed minimization problem arising in tomographic reconstruction

Numerical approach for a relaxed minimization problem arising in tomographic reconstruction

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The purpose of this article is to develop a numerical scheme for a system of optimality conditions for a smooth minimization problem that Basketball - Shoes - Junior arises in tomographic reconstruction of binary axially symmetric objects.The density function of the object with the Lagrange multipliers is seen as a saddle point of an associated Lagrangian, then we use the SPRINKLE 24 HERBS Usawa scheme mixed with descent gradient method to give the corresponding numerical scheme.