2015/12/13 by Chi-Kwong Li, Li, Chi-Kwong, Diane Christine Pelejo +3
Computer Science · Mathematics · #15A23 #15A60 #15B48 #Advanced Optimization Algorithms Research #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Numerical methods for differential equations #Optimization and Control (math.OC) #Rings and Algebras (math.RA) #math.FA #math.OC #math.RA #msc:15A23 #msc:15A60 #msc:15B48
paper · pdf · doi:10.48550/arxiv.1512.05384
12 pages
openalex publication_date 2015/12/13 · arxiv created 2016/03/22 · arxiv updated 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Several characterizations are given for a square matrix that can be written as the product of two positive (semidefinite) projections. Based on one of these characterizations, and the theory of alternating projections, a Matlab program is written to check the condition and construct the two positive projections whose product equal to the given matrix, if they exist.