Within unbroken SUSYQM and for zero factorization energy, I present an iter
ative generalization of Mielnik's isospectral method by employing a Schrodi
nger true zero mode in the first-step general Riccati solution and imposing
the physical condition of normalization at each iterative step. This proce
dure leads to a well-defined multiple-parameter structure within Mielnik's
construction for both zero modes and potentials.