A new three-term spectral subgradient method for solving absolute value equation. Issue 2 (1st February 2023)

• Record Type: Journal Article
• Authors: Rahpeymaii, Farzad; Amini, Keyvan; Rostamy-Malkhalifeh, Mohsen
• Is Part Of: International journal of computer mathematics. Volume 100:Issue 2(2023)
• Page Start: 440
• Page End: 452
• Publication Date: 2023-02-01
• Subjects: Absolute value equation -- conjugate subgradient method -- wolfe conditions -- global convergence; 90C30 -- 93E24 -- 34A34; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2022.2121606
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : In this paper, a new three-term spectral conjugate subgradient method is presented to solve an absolute value equation. The new method is constructed based on conjugate gradient method proposed by Dai & Yuan and Barzilai & Borwein technique. In each iteration, a descent direction is generated. The global convergence of the new method is established under some mild assumptions. The numerical results are reported, showing the efficiency of our method.