4 papers
On the optimal relaxation parameter of graph-based splitting methods for subspaces
Francisco J. Aragón-Artacho, César López-Pastor
In this paper, we investigate the behavior of the family of graph-based splitting algorithms specialized to the problem of finding a point in the intersection of linear subspaces.…
Graph splitting methods: Fixed points and strong convergence for linear subspaces
Francisco J. Aragón-Artacho, Heinz H. Bauschke, Rubén Campoy +1
In this paper, we develop a general analysis for the fixed points of the operators defining the graph splitting methods from [SIAM J. Optim., 34 (2024), pp. 1569-1594] by Bredies,…
A comparative numerical study of graph-based splitting algorithms for linear subspaces
Francisco J. Aragón-Artacho, Rubén Campoy, Irene López-Larios +1
In this note, we test the performance of six algorithms from the family of graph-based splitting methods [SIAM J. Optim., 34 (2024), pp. 1569-1594] specialized to normal cones of l…
Projection onto the parabola
Francisco J. Aragón-Artacho, Heinz H. Bauschke, César López-Pastor
In this note, we provide explicit expressions for the projections onto the graph of a quadratic polynomial. The projections are obtained by examining the critical points of the ass…