OUTLINE: This is a multicenter study. Patients receive mobilization therapy consisting of cyclophosphamide IV over 1 hour followed by paclitaxel IV over 3 hours, then filgrastim (G-CSF) beginning 24 hours following completion of paclitaxel and continuing through the last day of leukapheresis. Leukapheresis continues until an adequate number of CD34+ cells is collected. Following cell count recovery, patients receive 3 courses of high-dose chemotherapy: 2 courses of paclitaxel IV over 3 hours followed by carboplatin IV over 1 hour, with the first course generally within 21 days after completion of leukapheresis and the second course 21-35 days after the first; then 1 course of melphalan IV infused over 30 minutes 21-35 days after the previous carboplatin dose. Each course of chemotherapy is followed 24-48 hours later by the infusion of G-CSF-mobilized peripheral blood progenitor cells and G-CSF. Patients are followed every 3 months for 2 years.