Zz. Bai et Yf. Su, ON THE CONVERGENCE OF A CLASS OF PARALLEL DECOMPOSITION-TYPE RELAXATION METHODS, Applied mathematics and computation, 81(1), 1997, pp. 1-21
A class of parallel decomposition-type accelerated overrelaxation meth
ods suitable to the SIMD-systems is established, and sufficient and (o
r) necessary conditions ensuring its convergence are concluded when th
e coefficient matrices of the linear systems of equations are respecti
vely L-matrices, H-matrices, and symmetric positive definite matrices.
(C) Elsevier Science Inc., 1997