| 非线性对角占优性 |
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| 引用本文： | 干泰彬,黄廷祝,王晓梅,张利琼,高中喜.非线性对角占优性[J].电子科技大学学报（自然科学版）,2005,34(2):273-276. |
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| 作者姓名： | 干泰彬 黄廷祝 王晓梅 张利琼 高中喜 |
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| 作者单位： | 1.电子科技大学应用数学学院 成都 610054 |
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| 摘 要： | 提出了另一种非线性对角占优性(即拟对角占优性),推广了现有非线性对角占优性,同时,拟对角占优性具有许多良好的性质,可以方便地利用其导函数是H矩阵去判定一个非线性函数是拟对角占优的。研究了拟对角占优函数的性质,并对判定非线性广义对角占优性的公开问题给出了反例。
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| 关 键 词： | 非线性函数 对角占优 单射 导数 |
| 收稿时间： | 2004-05-27 |
Another Generalized Nonlinear Diagonal Dominance |
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| GAN Tai-bin,HUANG Ting-zhu,WANG Xiao-mei,Zhang Li-qiong,GAO Zhong-xi.Another Generalized Nonlinear Diagonal Dominance[J].Journal of University of Electronic Science and Technology of China,2005,34(2):273-276. |
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| Authors: | GAN Tai-bin HUANG Ting-zhu WANG Xiao-mei Zhang Li-qiong GAO Zhong-xi |
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| Affiliation: | 1.School of Applied Mathematics,UEST of China,Chengdu,610054,P. R. China |
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| Abstract: | Another concept of generalized diagonal dominance for nonlinear functions (i.e. quasi-generalized nonlinear diagonal dominance) is introduced. This concept includes as special case generalized nonlinear diagonal dominance, possess much of important properties of generalized nonlinear diagonal dominance, easy to judge a nonlinear function is quasi-generalized nonlinear diagonally dominant if its derivative is a generalized diagonally dominant matrix on an convex set in Rn. |
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| Keywords: | nonlinear functions diagonal dominance injection derivative |
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