Title of article
A note on different conditions of the unique solvability for the absolute value equation
Author/Authors
Kumar ، Rakesh Delhi Skill and Entrepreneurship University , Deep ، Amar Department of Applied Science - IIMT Engineering College Meerut , Kumar ، Shubham PDPM- Indian Institute of Information Technology, Design and Manufacturing
From page
371
To page
375
Abstract
In this study, we compare the different conditions which are used to detect the unique solvability of the absolute value equation (AVE) Ax − B|x| = 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.
Keywords
Absolute value equation , Necessary condition , Sufficient condition , Unique solution
Journal title
International Journal of Nonlinear Analysis and Applications
Journal title
International Journal of Nonlinear Analysis and Applications
Record number
2773676
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