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Using a generalized Riccati transformation and the general integral means technique, some new interval oscillation criteria for the linear matrix Hamiltonian system U'=(A(t)-λ(t)I)U+B(t)V, V'=C(t)U+(μ(t)I-A*(t))V, t≥t0 are obtained. These results generalize and improve the oscillation criteria due to Zheng (2008). An example is given to dwell upon the importance of our results.