 Patients between 12 and 75 years of age with non-Hodgkin s lymphoma, Hodgkin s lymphoma, multiple myeloma, chronic lymphocytic leukemia, chronic myelogenous leukemia, acute myelogenous leukemia, acute lymphocytic leukemia, myelodysplasia, idiopathic myelofibrosis, polycythemia vera, or chronic myelomonocytic leukemia may be eligible for this study. Candidates will have a medical history, physical and dental examinations, blood and urine tests including a blood test for genetic match with the donor, lung and heart function tests, and X-ray studies. A bone marrow biopsy may be done to evaluate disease status. Patients with lymphoma may have a nuclear medicine test called a positron emission tomography PET scan. 