OUTLINE: Patients receive cyclophosphamide IV over 1 hour followed by paclitaxel IV over 24 hours on day 1. Filgrastim (G-CSF) and stem cell factor (SCF) are administered subcutaneously beginning on day 3 for approximately 7-14 days (until the completion of leukapheresis). Peripheral blood stem cells (PBSC) are collected over 3-5 days. Three weeks after leukapheresis is completed, patients receive cytarabine IV over 2 hours twice a day on days -6 to -3. Mitoxantrone IV is administered over 1 hour on day -6. CD34+ PBSC are reinfused on day 0. Four weeks later, patients receive etoposide IV over 11 hours on day -2 and melphalan IV over 30 minutes twice on day -1. CD34+ PBSC are reinfused on day 0. Concurrent G-CSF is administered subcutaneously and continues until blood counts recover. Patients are followed at 4 weeks, every 3 months for the first 2 years, and then every 6 months for the next 2 years.