Method of alternating projections for the general absolute value equation

Jan Harold Alcantara, Jein Shan Chen*, Matthew K. Tam

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

5 引文 斯高帕斯(Scopus)

摘要

A novel approach for solving the general absolute value equation Ax+ B| x| = c where A,B∈IRm×n and c∈IRm is presented. We reformulate the equation as a nonconvex feasibility problem which we solve via the method of alternating projections (MAP). The fixed points set of the alternating projections map is characterized under nondegeneracy conditions on A and B. Furthermore, we prove local linear convergence of the algorithm. Unlike most of the existing approaches in the literature, the algorithm presented here is capable of handling problems with m≠ n, both theoretically and numerically.

原文英語
文章編號39
期刊Journal of Fixed Point Theory and Applications
25
發行號1
DOIs
出版狀態已發佈 - 2023 2月

ASJC Scopus subject areas

  • 建模與模擬
  • 幾何和拓撲
  • 應用數學

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