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A note on different conditions of the unique solvability for the absolute value equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 15، شماره 3، خرداد 2024، صفحه 371-375 اصل مقاله (328.12 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29633.4214 | ||
| نویسندگان | ||
| Rakesh Kumar1؛ Amar Deep2؛ Shubham Kumar* 3 | ||
| 1Delhi Skill and Entrepreneurship University, Sector-9, Dwarka, New Delhi, India | ||
| 2Department of Applied Science, IIMT Engineering College Meerut, Uttar Pradesh, India | ||
| 3Mathematics Discipline, PDPM- Indian Institute of Information Technology, Design and Manufacturing, Jabalpur-482005, Madhya Pradesh, India | ||
| تاریخ دریافت: 27 دی 1401، تاریخ بازنگری: 29 بهمن 1401، تاریخ پذیرش: 31 خرداد 1402 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Absolute value equation؛ Necessary condition؛ Sufficient condition؛ Unique solution | ||
| مراجع | ||
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