A note on different conditions of the unique solvability for the absolute value equation
نویسندگان
1 Mathematics Discipline, PDPM- Indian Institute of Information Technology, Design and Manufacturing, Jabalpur-482005, Madhya Pradesh, India
2 Delhi Skill and Entrepreneurship University, Sector-9, Dwarka, New Delhi, India
3 Department of Applied Science, IIMT Engineering College Meerut, Uttar Pradesh, India
doi
10.22075/ijnaa.2023.29633.4214چکیده
In this study, we compare the different conditions which are used to detect the unique solvability of the absolute value equation (AVE) $Ax- B \vert x \vert =b$. Also, analyzing which condition is more suitable to use according to our problem and later, we will see the advantage and disadvantages of different unique solvability conditions. Further, we take an example where existing conditions are invalid to judge the unique solvability of the AVE.
