High-dose chemotherapy is then administered to all patients in the study. Course 1 starts with doxorubicin IV on days -7 to -3. Paclitaxel IV is administered for 24 hours on day -2. Filgrastim is administered by IV on day -1 and continued until the granulocyte count is greater than 1000/mm^3 for 3 days. Peripheral stem cells are reinfused on day 0. Course 2 starts 4-6 weeks after the start of course 1 with melphalan and cisplatin being infused on day -11. Filgrastim is administered IV on days -10 to -6. Melphalan and cisplatin are administered again on day -4. Stem cells are infused on day -3 and on day 0. Filgrastim is then administered until the granulocyte count is at least 1000/mm^3 for 3 days.