The structured singular value, s.s.v., generalizes both the concepts of spectral radius and maximum singular value. It has been applied to a range of industrial problems in aerospace and chemical process control. Currently available software computes upper and lower bounds for the s.s.v.. But these bounds are not guaranteed to equal the s.s.v. except in a few cases. In this talk development of a new algorithm for computing the s.s.v. directly will be discussed.