Geodesic
The unique solvability conditions for a new class of absolute value equation
Yugoslav journal of operations research, Tome 33 (2023) no. 3, p. 425

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In this article, we investigate the solution of a new class of the absolute value equation (NCAVE) A1x − |B1x − c| = d. Based on spectral radius condition, singular value condition and row and column 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) A1x − |B1x| = d are also obtained.
Classification : 15A18, 90C05, 90C30
Keywords: Absolute value equation, unique solution, sufficient condition, vertical linear, complementarity problem 
Shubham Kumar; Deepmala . The unique solvability conditions for a new class of absolute value equation. Yugoslav journal of operations research, Tome 33 (2023) no. 3, p. 425 . http://geodesic.mathdoc.fr/item/YJOR_2023_33_3_a5/
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     author = {Shubham Kumar and Deepmala },
     title = {The unique solvability conditions for a new class of absolute value equation},
     journal = {Yugoslav journal of operations research},
     pages = {425 },
     year = {2023},
     volume = {33},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2023_33_3_a5/}
}
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