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Focusing on systems with simple non-cooperating receivers, we present an approach to reduce the complexity of multiuser precoding schemes for frequency-selective MIMO channels. The transmit Wiener filter (TxWF) and Wiener Tomlinson-Harashima precoding (THP) both provide attractive performances, but the complexity involved in their computation may be prohibitive. We develop a reduced-complexity multiuser multistage TxWF (MSTxWF) by applying the multistage decomposition known from receive processing to the TxWF. We show that the block-Lanczos algorithm can he used for efficiently computing the reduced rank MSTxWF. Moreover, we extend the MSTxWF approach to Wiener temporal THP, resulting in a reduced-complexity nonlinear precoding scheme. Simulation results demonstrate that both schemes can provide close to optimum performance at significantly reduced complexity.