112 citations · 112 across the 1 of their papers we have counts for
2 papers
math.NA2015
Alternating Minimization, Proximal Minimization and Optimization Transfer Are Equivalent
Charles L. Byrne, Jong Soo Lee
We show that proximal minimization algorithms (PMA), majorization minimization (MM), and alternating minimization (AM) are equivalent. Each type of algorithm leads to a decreasing…
math.OC2011★ 112 cited
The Split Common Null Point Problem
Charles Byrne, Yair Censor, Aviv Gibali +1
We introduce and study the Split Common Null Point Problem (SCNPP) for set-valued maximal monotone mappings in Hilbert spaces. This problem generalizes our Split Variational Inequa…