A note on unique solvability of the absolute value equation
Taher Lotfi, H. Vieseh · Journal of linear and topological algebra · 2013
It is proved that applying sucient regularity conditions to the interval matrix (A j Bj ;A + j Bj ), we can create a new unique solvability condition for the absolute value equation Ax + Bj xj = b, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix. Special case B = I is veried too as an application.