Convergence Analysis of the Relaxed Proximal Point Algorithm

Joint Authors

Li, Min
You, Yanfei

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-06-25

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

Recently, a worst-case O(1/t) convergence rate was established for the Douglas-Rachford alternating direction method of multipliers (ADMM) in an ergodic sense.

The relaxed proximal point algorithm (PPA) is a generalization of the original PPA which includes the Douglas-Rachford ADMM as a special case.

In this paper, we provide a simple proof for the same convergence rate of the relaxed PPA in both ergodic and nonergodic senses.

American Psychological Association (APA)

Li, Min& You, Yanfei. 2013. Convergence Analysis of the Relaxed Proximal Point Algorithm. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-507543

Modern Language Association (MLA)

Li, Min& You, Yanfei. Convergence Analysis of the Relaxed Proximal Point Algorithm. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-507543

American Medical Association (AMA)

Li, Min& You, Yanfei. Convergence Analysis of the Relaxed Proximal Point Algorithm. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-507543

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-507543