| 有界线性算子非负分裂的比较 |
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| 引用本文： | 宋永忠.有界线性算子非负分裂的比较[J].应用数学,1999,12(4):137-142. |
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| 作者姓名： | 宋永忠 |
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| 作者单位： | 南京师范大学数学系!南京210097 |
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| 摘 要： | 本文研究有界线性算子非负分裂的比较，建立了若干比较定理，给出了保证两个迭代算子的谱半径间严格不等式成立的一些充分条件．这些结论蕴涵并推广了Ｍａｒｅｋ 和Ｓｚｙｌｄ［２］以及作者［４］的相应结果
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| 关 键 词： | 线性算子 非负分裂 比较 |
Comparisons for Nonnegative Splittings of Bounded Linear Operators |
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| Song Yongzhong.Comparisons for Nonnegative Splittings of Bounded Linear Operators[J].Mathematica Applicata,1999,12(4):137-142. |
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| Authors: | Song Yongzhong |
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| Abstract: | Comparison theorems for nonnegative splittings of bounded linear operators are presented. Hypotheses ensuring strict inequality between two spectral radii of iteration operators are also given. These theorems imply and extend the comparison theorems by Marek and Szyld. |
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| Keywords: | Linear operator Nonnegative splitting Comparison |
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