| 非线性方程组的符号矩阵，正则分裂与单调包含（Ⅰ） |
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| 引用本文： | 徐宗本 游兆永. 非线性方程组的符号矩阵，正则分裂与单调包含（Ⅰ）[J]. 高校应用数学学报(英文版), 1994, 9(2): 195-211. DOI: 10.1007/BF02662073 |
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| 作者姓名： | 徐宗本 游兆永 |
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| 摘 要： | As a continuation of part I of the paper under the same title, we developgeneral monotonic enclosure methods for the couple systems of the splitting equations {x=G([x]a,[x]b,[y]c) y=G([y]a,[y]b,[x]c),which models the system of equations associated with hybrid and aaynchronotts monotonicity as well as convexity. The resulting algorithms and convergence theorems generalize and unify various known methods and monotonic enclosure theorents established by other authors.
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| 关 键 词： | 非线性方程组 符号矩阵 正则分裂 单调包含 广义子微分映射 |
Sign matrix,regular splittings and monotonic enclosure of solutions for nonlinear system of equations,part II |
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| Xu Zongben,You Zhaoyong. Sign matrix,regular splittings and monotonic enclosure of solutions for nonlinear system of equations,part II[J]. Applied Mathematics A Journal of Chinese Universities, 1994, 9(2): 195-211. DOI: 10.1007/BF02662073 |
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| Authors: | Xu Zongben You Zhaoyong |
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| Affiliation: | 1. Research Center of Applied Mathematics, Xi’an Jiaotong University, 710049, Xi’an
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| Abstract: | As a continuation of part I of the paper under the same title, we develop general monotonic enclosure methods for the couple systems of the splitting equations $$left{ {begin{array}{*{20}c} {x = Gleft( {left[ x right]_a ,left[ x right]_b ,left[ y right]_c } right),} {y = Gleft( {left[ y right]_a ,left[ y right]_b ,left[ x right]_c } right),} end{array} } right.$$ which models the system of equations associated with hybrid and asynchronous monotonicity as well as convexity. The resulting algorithms and convergence theorems generalize and unify various known methods and monotonic enclosure theorems established by other authors. |
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