The displacement structure is extended to a Kronecker matrix W Z. A new class of Kronecker-like matrices with the displacement rank r, r < n will be formulated and presented. The computational complexity of multiplication with vectors for Kronecker-like matrices has been accelerated. Applying the displacement, which was originally discovered by Kailath, Kung and Morf [15], a new superfast algorithm for the multiplication of a Kronecker-like matrix of the size n1
Z. Chen