t] up to premultiplication
by an arbitrary nonsingular r x r matrix (the analogue of [bar.
by a carefully chosen easily invertible matrix) to reduce the number of iterations.
Blocked reductions of B to upper triangular form by premultiplication
by, for example, Householder reflections are well known (e.
Substitution of (10) in (13) and premultiplication
by [Mathematical Expression Omitted] gives the unit revenues per sector (which under perfect competition equals the price of each sector's single input) as the weighted average of that sector's intermediate and final output prices:
by P yields PAv = [mu]Pv which implies v = [mu]Pv (since [mu] [not equal to] 0).