Carleton University
Technical Report TR-29
August 1983
Another Addendum to Kronecker’s Theory of Pencils
M.D. Atkinson
Abstract
A classical theory due to Kronecker and Weierstrass shows how to decide when two pairs of matrices are equivalent under multiplication by non-singular matrices. Recent work in algebraic computational complexity has demanded a broader definition of equivalence. The classical theory is here extended to the new definition and illustrated by a result on pairs of 3 x 3 matrices: – with the new definition there are only a finite number of inequivalent pairs of 3 x 3 matrices.