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23 papers · 1 filter
A Relaxed-Projection Splitting Algorithm for Variational Inequalities in Hilbert Spaces
J. Y. Bello Cruz, R. Diaz Millan
We introduce a relaxed-projection splitting algorithm for solving variational inequalities in Hilbert spaces for the sum of nonsmooth maximal monotone operators, where the feasible…
A new view on spin reduced density matrix for relativistic particles
E. R. F. Taillebois, A. T. Avelar
We present a new interpretation for reduced density matrices of secondary variables in relativistic systems via an analysis of Wigner's method to construct the irreducible unitary…
Nonlinear Boundary Value Problems via Minimization on Orlicz-Sobolev Spaces
J. V. Goncalves, M. L. M. Carvalho
We develop arguments on convexity and minimization of energy functionals on Orlicz-Sobolev spaces to investigate existence of solution to the equation $\displaystyle -\mbox{div} (ϕ…
Aggregated functional data model for Near-Infrared Spectroscopy calibration and prediction
Ronaldo Dias, Nancy L. Garcia, Guilherme Ludwig +1
Calibration and prediction for NIR spectroscopy data are performed based on a functional interpretation of the Beer-Lambert formula. Considering that, for each chemical sample, the…
Local convergence analysis of Inexact Newton method with relative residual error tolerance under majorant condition in Riemannian Manifolds
T. Bittencourt, O. P. Ferreira
A local convergence analysis of Inexact Newton's method with relative residual error tolerance for finding a singularity of a differentiable vector field defined on a complete Riem…
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle
Heinz H. Bauschke, J. Y. Bello Cruz, Tran T. A. Nghia +2
The Douglas-Rachford splitting algorithm is a classical optimization method that has found many applications. When specialized to two normal cone operators, it yields an algorithm…