OBJECTIVES: I. Determine the complete response rate in patients with relapsed or refractory CD20-positive diffuse large cell, immunoblastic, or anaplastic large cell lymphoma treated with cytoreduction and mobilization with rituximab, ifosfamide, carboplatin, and etoposide (RICE). II. Assess the ability of this regimen to deplete the stem cell harvest of B-cells and tumor cells in these patients. III. Assess the efficacy of this regimen to mobilize peripheral blood progenitor cells in these patients. IV. Assess the safety and toxicity of this regimen in these patients.