Quote from: demoinvest1 on Today at 01:27:00 AM

I read bout method use R,S,Z but not yet understand yet why it can use calculate to know privatekey
method looking R and S on Transaction How I can calculate Z? what equation for calculate
and if I have private key how to calculate R,S,Z for testing Can do it or not?

R and S are public inside the transaction output. Z is just the SHA256 hash of the raw transaction, not the signed transaction.

Usually, it is not possible to obtain the private key from an RSZ triple, since if you could, that would break the security model of Bitcoin.

But if you have two RSZ triples that were generated with the same nonce ("k"), you can solve two equations of the form s = k^-1(z + r*dA) mod n (this comes from the verification algorithm) for dA, the private key.