is of size m. Let R = UP, where U is unitary and P = (R*R)l12 >, 0, be the
polar decomposition of R (cf. [4, p. 1691) and assume that U = [aij]. Let b
satisfy ( - 1)” + ’ b det U > 0, and c be such that 0 belongs to the interior of
the numerical range of the 2x2 matrix