In this paper, without requiring any constraint qualifications, we establish tight error bounds for the log-determinant cone, which is the closure of the hypograph of the perspective function of the log-determinant function. This error bound is obtained using the recently developed framework based on one-step facial residual functions.

翻译：本文在无需任何约束资格的条件下，建立了对数行列式锥的紧致误差界。该锥是对数行列式函数透视函数下方图的闭包。这一误差界基于近期发展的单步面残差函数框架而获得。