期刊
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
卷 17, 期 6, 页码 917-933出版社
WILEY
DOI: 10.1002/nla.680
关键词
linear complementarity problem; matrix splitting; iteration method; convergence
资金
- National Basic Research Program [2005CB321702]
- National Outstanding Young Scientist Foundation [10525102]
For the large sparse linear complementarity problems, by reformulating them as implicit fixed-point equations based on splittings of the system matrices, we establish a class of modulus-based matrix splitting iteration methods and prove their convergence when the system matrices are positive-definite matrices and H+-matrices. These results naturally present convergence conditions for the symmetric positive-definite matrices and the M-matrices. Numerical results show that the modulus-based relaxation methods are superior to the projected relaxation methods as well as the modified modulus method in computing efficiency. Copyright (C) 2009 John Wiley & Sons, Ltd.
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