OUTLINE: Cytoreductive therapy: Patients receive 3 courses of salvage chemotherapy (e.g., dexamethasone, high dose cytarabine, and cisplatin (DHAP); etoposide, methylprednisolone, high dose cytarabine, and cisplatin (ESHAP); fludarabine, mitoxantrone, and dexamethasone (FND)). Harvest: Patients with an HLA identical sibling donor are assigned to the allogeneic peripheral blood stem cell (PBSC) transplantation group. Patients without an HLA identical sibling are assigned to the autologous PBSC transplantation group. Allogeneic OR autologous PBSC are harvested. Conditioning regimen: Patients receive high dose chemotherapy comprised of cyclophosphamide IV over 1 hour on days -6 to -3 and carmustine IV over 3 hours and etoposide IV over 3 hours on days -6 to -4. PBSC are infused on day 0. Patients are followed weekly for 3 months, then monthly for 1 year, and then annually thereafter.