  If the scale dependence of a Yukawa matrix is assumed to be determined
entirely by the dominant 33-element, then the renormalization group equations
can be expressed in terms of two separate equations: a differential equation
for the 33-coupling, and, an algebraic equation for the scale-independent 3x3
matrix that is found to have only two non-trivial, hierarchical, solutions with
eigenvalues (0,0,1) and (0,1,1). The mass matrices are constructed from these
solutions by rotating them first by the experimentally known mixing
matrices-the CKM for quarks and charged leptons, and the CKM-analog for the
seesaw generated Majorana neutrinos-and then incorporating the appropriate
texture zeros. A uniform, hierarchical, description for the mass matrices of
quarks and leptons is thus achieved, in terms of the mixing paramters, that
give mass eigenvalues consistent with experiments as well as reproduce the
input mixing angles. Inverted hierarchy in neutrinos is also discussed. Only a
single scale (approx. 10^13 GeV) for the seesaw neutrinos is involved rather
than their mass distribution. No new particles are otherwise invoked.
