  We perform an analysis of general quark mass matrices in the general nearest
neighbor interaction form. Excellent agreement with experiment is realized with
this general texture, which is neither hermitian nor real-symmetric. We then
propose a new class of quark mass matrices that contain no additional
parameters other than the quark masses themselves, and thus possess
calculability, i.e., ensure a relationship between the six quark masses and
four flavor-mixing parameters of the Standard Model.
