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math.GR2001
The Structure of The Group of Polynomial Matrices Unitary in The Indefinite Metric of Index 1
Boris D. Lubachevsky
We consider the group M of all polynomial matrices U(z) = U0 + U1*z + U2*z*z +...+Uk*z*...*z, k=0,1,... that satisfy equation U(z)*D*U(z)" = D with the diagonal n*n matrix D=diag{-…
math.RA2001
The Structure of the Inverse to the Sylvester Resultant Matrix
Boris D. Lubachevsky
Given polynomials a(z) of degree m and b(z) of degree n, we represent the inverse to the Sylvester resultant matrix of a(z) and b(z), if this inverse exists, as a canonical sum of…