Communications on Applied Mathematics and Computation ›› 2026, Vol. 8 ›› Issue (4): 1420-1426.doi: 10.1007/s42967-025-00506-1

• ORIGINAL PAPERS • Previous Articles     Next Articles

Some Notes on Fixed Point Iteration Methods for Solving Tensor Absolute Value Equation

Guangbin Wang1, Fuping Tan2   

  1. 1. College of Science and Information, Qingdao Agricultural University, Qingdao, 266109, Shandong, China;
    2. College of Sciences, Shanghai University, Shanghai, 200444, China
  • Received:2025-01-10 Revised:2025-05-22 Accepted:2025-05-23 Online:2026-08-20 Published:2026-09-17
  • Supported by:
    This work was supported by the Advanced Talents Foundation of Qingdao Agricultural University, China.

Abstract: Recently, Lv and Miao (Appl Math Lett 154: 109109, 2024) presented a new inexact fixed point iteration method which is based on an inexact fixed point iteration method for solving the tensor absolute value equation (TAVE). In this paper, we give new convergent conditions of the inexact fixed point iteration method and the new inexact fixed point iteration method, respectively.

Key words: Tensor absolute value equation (TAVE), Inexact fixed point iteration method, Tensor splitting, Spectral radius