Work

A modified PRP conjugate gradient method with inertial extrapolation for sparse signal reconstruction

Year: 2024

Type: article

Abstract: It is widely known that the inertial technique of the heavy ball method can accelerate its convergence speed. In this paper, by embedding the inertial technique in the famous PRP conjugate gradient method, we propose a modified PRP conjugate gradient method with inertial extrapolation (PRPCG-IE) for sparse signal reconstruction. Its direction satisfies the sufficient descent property, which is independent of any line search. Global convergence of PRPCG-IE is established under some standard conditions. Finally, PRPCG-IE is applied to two sparse signal reconstruction problems with noise. Preliminary experimental results demonstrate the effectiveness of PRPCG-IE. MSC. 90C25, 90C30

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-024-03219-w

Authors: Yuanshou Zhang, Min Sun, Jing Liu

Institutions: Weifang University, Zaozhuang University, Zhejiang University of Finance and Economics

Language: English

Topic: Sparse and Compressive Sensing Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,990

Funder: Natural Science Foundation of Shandong Province