nātra cintyo 'ri-śuddhyādir nāri-mitrādi-lakṣaṇam siddha-sādhya-susiddhāri- rūpā nātra vicāraṇā

natra cintyo 'ri-suddhyadir
nari-mitradi-laksanam
siddha-sadhya-susiddhari-
rupa natra vicarana
There is sodhana, or purification of the mantra, but there is no such consideration for the Krsna mantra. Balitvat krsna-mantranam samskarapeksanam na hi. "The Krsna mantra is so strong that there is no question of sodhana. (1.235)
As far as diksa is concerned, one should consult Madhya-lila, Chapter Fifteen (108). On the whole, when a person is initiated according to the pancaratrika-vidhi, he has already attained the position of a brahmana. This is enjoined in the Hari-bhakti-vilasa (2.12):
 

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