Patients receive docetaxel IV over 1 hour on day 1, filgrastim (G-CSF) subcutaneously on days 2-21, vinorelbine IV over 6-10 minutes on days 8 and 15, and trastuzumab (Herceptin) IV over 30-90 minutes on days 1, 8, and 15. Courses repeat every 21 days in the absence of disease progression or unacceptable toxicity. If docetaxel and vinorelbine are discontinued due to unacceptable toxicity, patients may continue to receive trastuzumab. If trastuzumab is discontinued due to unacceptable toxicity, patients may continue to receive chemotherapy with G-CSF support.