Geodesic
An algorithm for solving the absolute value equation
The electronic journal of linear algebra, Tome 18 (2009), pp. 589-599.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Presented is an algorithm which for each A, B $\in R$ n$\times n$ and b $\in R$ n in a finite number of steps either finds a solution of the equation Ax + B|x| = b, or states existence of a singular matrix S satisfying |S - A$| \leq |$B| (and in most cases also constructs such an S).
Classification : 15A06, 65H10, 90C33
Keywords: absolute value equation, algorithm, regularity, singularity, theorem of the alternatives 
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     author = {Rohn, Jiri},
     title = {An algorithm for solving the absolute value equation},
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Rohn, Jiri. An algorithm for solving the absolute value equation. The electronic journal of linear algebra, Tome 18 (2009), pp. 589-599. http://geodesic.mathdoc.fr/item/ELA_2009__18__a14/