BIB-VERSION:: CS-TR-v2.0 ID:: STAN//NA-M-82-03 ENTRY:: January 28, 1996 ORGANIZATION:: Stanford University, Department of Computer Science, Numerical Analysis Project TITLE:: Generalized iterative methods for semidefinite linear systems TYPE:: Manuscript AUTHOR:: Schreiber, Robert S. DATE:: June 1982 PAGES:: 12 ABSTRACT:: In this paper, we consider iterative solution procedures for solving singular linear systems Ax = b, b $\varepsilon$ Range (A) where A is an n by n, Hermitian, positive semidefinite matrix. Our aim is to consider variants of the block Jacobi, SOR, and SSOR iterations. The fundamental paper of Keller ([1965]) considers methods based on splittings A = B - C with B a nonsingular matrix. Here we allow B to be singular. NOTES:: [Adminitrivia V1/Prg/19960128] END:: STAN//NA-M-82-03