A note on alternating projections in Hilbert space

By Eva Kopecká, Simeon Reich. 2012

66 citations recorded by the source corpus.

We provide a direct proof of a result regarding the asymptotic behavior of alternating nearest point projections onto two closed and convex sets in a Hilbert space. Our arguments are based on nonexpansive mapping theory.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/bc19c1345278c672ec212542380c15a364e18716