Acceleration of the Method of Alternating Projections on subspaces by GMRES

2026-10-28来源 arXiv cs.NAEnglish
arXiv:2610.36938v1 Announce Type: new Abstract: In this paper we propose a GMRES-accelerated version of the Method of Alternating Projections (MAP) for subspaces. It is proved that the accelerated version not only converges to a feasible solution, but also solves a best approximation problem. Comparisons are made with other accelerations proposed in the literature, for solving saddle point problems.

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