Error-Based Restarted Simpler QGMRES for Image Denoising Problem
Year: 2025
Type: article
Abstract: QGMRES is an effective approach for solving quaternion linear systems. Without solving upper Hessenberg minimization problem, SQGMRES is the simpler version of QGMRES. Similar to restarted GMRES and SGMRES, the residual vectors at the end of each restart cycle in SQGMRES also alternate direction in a cyclic manner. Motivated by LGMRES and SLGMRES, in this paper, we present an acceleration strategy for SQGMRES by disrupting the alternation, and the convergence theory of new algorithm is provided. Finally, we apply new algorithms to color image denoising problems, and the experimental results showed a significant decrease in both the number of iterations and the required time compared to QGMRES.
Source: IEEE Access
Authors: Wendi Yao, Hongxiu Zhong, Juan Song
Institutions: Jiangnan University, Wuxi University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,075
Awards: G2113614661, G2514967234
OpenAlex ID: W4409014291