| PARALLEL NONLINEAR MULTISPLITTING RELAXATION METHODS |
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| 引用本文： | WANG DEREN AND BAI ZHONGZHI(Department of Mathematics,Shanghai University of Science and Technology,Shanghai 201800).. PARALLEL NONLINEAR MULTISPLITTING RELAXATION METHODS[J]. 高校应用数学学报(英文版), 1995, 10(3): 251-266. DOI: 10.1007/BF02662868 |
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| 作者姓名： | WANG DEREN AND BAI ZHONGZHI(Department of Mathematics Shanghai University of Science and Technology Shanghai 201800). |
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| 作者单位： | Department of Mathematics，Shanghai University of Science and Technology，Shanghai 201800 |
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| 摘 要： | ＰＡＲＡＬＬＥＬＮＯＮＬＩＮＥＡＲＭＵＬＴＩＳＰＬＩＴＴＩＮＧＲＥＬＡＸＡＴＩＯＮＭＥＴＨＯＤＳＷＡＮＧＤＥＲＥＮＡＮＤＢＡＩＺＨＯＮＧＺＨＩ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｇｈａｉＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅａｎ...
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| 收稿时间： | 1991-11-11 |
Parallel nonlinear multisplitting relaxation methods |
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| Wang Deren,Bai Zhongzhi. Parallel nonlinear multisplitting relaxation methods[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 10(3): 251-266. DOI: 10.1007/BF02662868 |
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| Authors: | Wang Deren Bai Zhongzhi |
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| Affiliation: | (1) Department of Mathematics, Shanghai University of Science and Technology, 201800 Shanghai |
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| Abstract: | By further generalizing Frommer's results in the sense of nonlinear multisplitting, we build a class of nonlinear multisplitting AOR-type methods, which covers many rather practical nonlinear multisplitting relaxation methods such as multisplitting AOR-Newton method, multisplitting AOR-chord method and multisplitting AOR-Steffensen method, etc.. Furthermore,a general convergence theorem for the nonlinear multisplitting AOR-type methods and the local convergence for the multisplitting AOR-Newton method are discussed in detail.A lot of numerical tests show that our new methods are feasible and satisfactory. |
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| Keywords: | Nonlinear system of equations nonlinear multisplitting relaxed method local convergence |
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