An old timer told me once about what seems to work.

Pull all the mature fronds before they produce mature spores. The sori containing immature spores will be greenish. Mature ones will be a brownish color.

When the rhizomes send up new shoots, break them off but leave a little of the epidermis attached. Do not break them completely off. The rhizomes will continue to send nutrients up but the fern will not grow. It will cause the rhizomes to "bleed" to death.
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Gill nets take no prisoners.