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arXiv · 2308.10536

The Unique Solvability Conditions for the Generalized Absolute Value Equations

Shubham Kumar·Deepmala
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Abstract

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

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Shubham Kumar, Deepmala. 2023-08-21. The Unique Solvability Conditions for the Generalized Absolute Value Equations. https://arxiv.org/abs/2308.10536

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