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内蒙古自治区呼和浩特市赛罕区大学西街235号 邮编: 010021
作者机构:Beijing Informat Sci & Technol Univ Sch Appl Sci Beijing 100192 Peoples R China
出 版 物:《COMPUTATIONAL & APPLIED MATHEMATICS》 (Comput. Appl. Math.)
年 卷 期:2022年第41卷第6期
页 面:1-13页
核心收录:
基 金:R&D Program of Beijing Municipal Education Commission [KM201911232010]
主 题:Linear complementarity problem Two-step iteration method Modulus-based matrix splitting Retinex problem
摘 要:Based on a variational optimization model, and by imposing physical constraints on the reflection value, and deriving deformation of the Retinex problem, we find that the Retinex problem is equivalent to a linear complementarity problem and its solution can be computed by solving an equivalent fixed-point equation. In light of the theoretical analysis of the special structure of the system matrix of the linear complementarity problem, we propose a variant of the two-step modulus-based matrix splitting iteration method, and then prove its unconditional convergence. We further give practically quasi-optimal values of the involved iteration parameters in this method. The numerical results show that the variant of the two-step modulus-based matrix splitting iteration method is effective in terms of iteration steps, computing time, and natural image quality evaluator.