k -order Weak-convergence Theory of -order Weak-convergence Theory of
k-order Quasi-nonnegative Splitting Methods for Singular Matrices1

Li WANG2
State Key Laboratory of Scientific/Engineering Computing
Institute of Computational Mathematics and
Scientific/Engineering Computing
Academy of Mathematics and Systems Sciences
Chinese Academy of Sciences
China
Email: wangli@lsec.cc.ac.cn

Weak-convergence of the splitting methods for solving singular systems is discussed. Two new concepts, k-order quasi-nonnegative splitting and k-order weak-convergence, are introduced. The equivalence conditions, asymptotic and monotone convergence, and comparison theorems are investigated for the k-order quasi-nonnegative splittings.

Footnotes:

1 Subsidized by The Special Funds For Major State Basic Research Projects G1999032803, P.R. China. Permanent Address: Nantong Institute of Technology, Nantong 226007, Jiangsu Province, P.R. China.

2 Joint work with Zhong-Zhi BAI and Jin-Yun YUAN.

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On 9 Apr 2002, 13:02.