English

The Unique Solvability Conditions for the Generalized Absolute Value Equations

Optimization and Control 2023-08-22 v1 Functional Analysis

Abstract

This paper investigates the conditions that guarantee unique solvability and unsolvability for the generalized absolute value equations (GAVE) given by AxBx=bAx - B \vert x \vert = b. Further, these conditions are also valid to determine the unique solution of the generalized absolute value matrix equations (GAVME) AXBX=FAX - B \vert X \vert =F. Finally, certain aspects related to the solvability and unsolvability of the absolute value equations (AVE) have been deliberated upon.

Cite

@article{arxiv.2308.10536,
  title  = {The Unique Solvability Conditions for the Generalized Absolute Value Equations},
  author = {Shubham Kumar and Deepmala},
  journal= {arXiv preprint arXiv:2308.10536},
  year   = {2023}
}
R2 v1 2026-06-28T12:00:11.218Z