Randomized Iterative Methods with Alternating Projections

Hua Xiang; Lin Zhang

REVIEW

Randomized Iterative Methods with Alternating Projections

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1708.09845 v1 pith:QD3TDBH3 submitted 2017-08-31 math.NA cs.NA

Hua Xiang , Lin Zhang This is my paper · ORCID

classification math.NAcs.NA

keywords iterativemethodsrandomizedalternatingconvergencemethodschemessome

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We use a unified framework to summarize sixteen randomized iterative methods including Kaczmarz method, coordinate descent method, etc. Some new iterative schemes are given as well. Some relationships with \textsc{mg} and \textsc{ddm} are also discussed. We analyze the convergence properties of the iterative schemes by using the matrix integrals associated with alternating projectors, and demonstrate the convergence behaviors of the randomized iterative methods by numerical examples.

Discussion (0). Continue with ORCID to comment.

Pith tools