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An Accelerated Proximal Algorithm for the Difference of Convex Programming
- Source :
- Mathematical Problems in Engineering, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- In this paper, we propose an accelerated proximal point algorithm for the difference of convex (DC) optimization problem by combining the extrapolation technique with the proximal difference of convex algorithm. By making full use of the special structure of DC decomposition and the information of stepsize, we prove that the proposed algorithm converges at rate of O 1 / k 2 under milder conditions. The given numerical experiments show the superiority of the proposed algorithm to some existing algorithms.
- Subjects :
- 021103 operations research
Optimization problem
Article Subject
General Mathematics
0211 other engineering and technologies
General Engineering
Extrapolation
Regular polygon
Structure (category theory)
010103 numerical & computational mathematics
02 engineering and technology
Engineering (General). Civil engineering (General)
01 natural sciences
Proximal point
Convex optimization
Decomposition (computer science)
QA1-939
0101 mathematics
TA1-2040
Algorithm
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 15635147
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....304dd6de1502c6794f57dc3fe1537097