The Unique Solvability Conditions for a New Class of Absolute Value Equation

  • Shubham Kumar Pandit Dwarka Prasad Mishra - Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, Madhya Pradesh, India
  • Deepmala Deepmala Pandit Dwarka Prasad Mishra - Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, Madhya Pradesh, India
DOI: https://doi.org/10.2298/YJOR220515036K

Abstract

In this article, we investigate the solution of a new class of the absolute value equation (NCAVE) A_1x−|B_1x−c| = d. Based on spectral radius condition, singular value condition and row and column \mathcal{W}-property, some necessary and sufficient conditions for unique solvability for NCAVE are gained. Some new results for the unique solvability of the new generalized absolute value equation (NGAVE) A_1x−|B_1x| = d are also obtained.

Published
2022-12-26
How to Cite
KUMAR, Shubham; DEEPMALA, Deepmala. The Unique Solvability Conditions for a New Class of Absolute Value Equation. Yugoslav Journal of Operations Research, [S.l.], v. 33, n. 3, p. 425-434, dec. 2022. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1115>. Date accessed: 04 dec. 2024. doi: https://doi.org/10.2298/YJOR220515036K.
Citation Formats
Issue
Vol 33 No 3 (2023)
Section
Research Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.