Author/Authors :
Lotfi، T نويسنده Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran , , Veiseh، H نويسنده Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran ,
Abstract :
It is proved that applying sucient regularity conditions to the interval matrix
[A ?? jBj;A + jBj], we can create a new unique solvability condition for the absolute value
equation Ax + Bjxj = 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.