On the basis of the so-called "yukawaon" model, we found a special form of the neutrino mass matrix M-nu which gives reasonable predictions. The M-nu is given by a multiplication form made of charged lepton mass matrix M-e and up-quark mass matrix M-u. This M-nu has no adjustable parameters except for those in M-e and M-u. Here, M-e and M-u are described by one parameter a(e) (real) and two parameters a(u) (complex), respectively, and those parameters are constrained by their observed mass ratios. With this form of M-nu, in spite of having only three parameters, the M-nu can give reasonable predictions: sin(2)2 theta(atm) similar or equal to 0.99, sin(2)2 theta(13) similar or equal to 0.015, Delta m(21)(2)/Delta m(32)(2) similar or equal to 0.030, < m(ee)> similar or equal to 0.0039 eV, and so on, by using observed values of m(e)/m(mu), m(mu)/m(tau), m(c)/m(t), and sin(2)theta(solar) as input values.