"收敛性判别准则" can be translated into English as "convergence criterion" or "convergence test criterion".
"Convergence criterion" is a more general and commonly used term, referring to the standard or rule used to determine whether a sequence, series, or iterative process converges.
"Convergence test criterion" emphasizes the specific test or method applied to assess convergence, though it is somewhat more verbose and may be used in contexts where the focus is on the particular test being applied.
In most mathematical contexts, "convergence criterion" would be the appropriate and concise choice.