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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@article{YJOR_2023_33_3_a5,
     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 },
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2023_33_3_a5/}
}
TY  - JOUR
AU  - Shubham Kumar
AU  - Deepmala 
TI  - The unique solvability conditions for a new class of absolute value equation
JO  - Yugoslav journal of operations research
PY  - 2023
SP  - 425 
VL  - 33
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/YJOR_2023_33_3_a5/
LA  - en
ID  - YJOR_2023_33_3_a5
ER  - 
%0 Journal Article
%A Shubham Kumar
%A Deepmala 
%T The unique solvability conditions for a new class of absolute value equation
%J Yugoslav journal of operations research
%D 2023
%P 425 
%V 33
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/YJOR_2023_33_3_a5/
%G en
%F YJOR_2023_33_3_a5
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/