It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, 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...

This paper investigates interval pseudo-inverse matrices. We state an Interval Greville algorithm and extensions with bisections for calculation of interval pseudo-inverse matrices and give the examples of interval pseudo-inversion application for estimation of solutions of systems of linear equations, and show applications for estimations of solutions and pseudo-solutions in a least squares se...

We present some results that show the information of sign structure of matrices characterized by signed digraph can reduce computations in interval matrices. With the sign structure of the matrices, vertices of interval matrices which realizes the max/min of the determinant can be xed. We present an algorithm to check singularity of interval matrices based on the result. We also discuss impact ...