  In this paper, we carry out a numerical and systematic analysis of the
neutrino mass textures, which contain one vanishing minor and an equality
between two cofactors. Among 60 logically possible textures, only eight of them
are excluded for both normal and inverted hierarchy by the current experimental
data at 3\sigma level. We also demonstrate that the future long-baseline
neutrino oscillation experiments, especially for the measurement of \theta 23
mixing angle, will play the important role in the model selection. The
phenomenological implications from neutrinoless double beta decay and the
cosmology observation are also examined. A discussion on the flavor symmetry
realization of the textures is also given.
