... details.P. C. Hansen and S. H. Jensen 13where Γ and Δ are p × p and diagonal, and Iois the identitymatrix of order n−p.Moreover,UH∈ Rm×n and UR∈ Rp×phave orthonormal columns, and X ∈ Rn×nis ... the smallest anglebetween any two vectors v and vLorthogonal to w1 and wL,1in Vk and VL,k, and it is attained for v = w2 and vL= wL,2, and so forth.Hence, canonical vectors associated ... by Luk and Qiao [26, 27] and Bojanczyk and Lebak [28].Further extensions of the GSVD and ULLV algorithmsto rank-deficient noise, typically arising in connection withnarrowband noise and interference,...