A NONLINEAR KREIN RUTMAN THEOREM 被引量：4

A NONLINEAR KREIN RUTMAN THEOREM

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摘要 A nonlinear version of Krein Rutman Theorem is established.This paper presents aunified proof of the Krein Rutman Theorem for linear operators and for nonlinear operators,and ofthe Perron-Frobenius theorem for nonnegative matrices and for nonnegative tensors.

作者 K.C.CHANG

机构地区 Laboratory of Mathematics and Applied Mathematics

出处《Journal of Systems Science & Complexity》 SCIE EI CSCD 2009年第4期542-554,共13页 系统科学与复杂性学报（英文版）

关键词 EIGENVECTOR increasing map p-Laplace operator positive operator spectral radius. Frobenius定理非线性统一证明线性算子经营者矩阵和张量

分类号 O177.91 [理学—基础数学]

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参考文献19

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同被引文献3

1Liping Zhang,Liqun Qi,Yi Xu.LINEAR CONVERGENCE OF THE LZI ALGORITHM FOR WEAKLY POSITIVE TENSORS[J].Journal of Computational Mathematics,2012,30(1):24-33. 被引量：3
2Yuning YANG Qingzhi YANG.Geometric simplicity of spectral radius of nonnegative irreducible tensors[J].Frontiers of Mathematics in China,2013,8(1):129-140. 被引量：4
3HU ShengLong,HUANG ZhengHai,QI LiQun.Strictly nonnegative tensors and nonnegative tensor partition[J].Science China Mathematics,2014,57(1):181-195. 被引量：12

引证文献4

1Yuning YANG Qingzhi YANG.Geometric simplicity of spectral radius of nonnegative irreducible tensors[J].Frontiers of Mathematics in China,2013,8(1):129-140. 被引量：4
2HU ShengLong,HUANG ZhengHai,QI LiQun.Strictly nonnegative tensors and nonnegative tensor partition[J].Science China Mathematics,2014,57(1):181-195. 被引量：12
3Yisheng SONG,Liqun QI.Positive eigenvalue-eigenvector of nonlinear positive mappings[J].Frontiers of Mathematics in China,2014,9(1):181-199.
4Yiyong LI Qingzhi YANG Yuning YANG.A new definition of geometric multiplicity of eigenvalues of tensors and some results based on it[J].Frontiers of Mathematics in China,2015,10(5):1123-1146.

二级引证文献14

1HU ShengLong,HUANG ZhengHai,QI LiQun.Strictly nonnegative tensors and nonnegative tensor partition[J].Science China Mathematics,2014,57(1):181-195. 被引量：12
2李浙宁,凌晨,王宜举,杨庆之.张量分析和多项式优化的若干进展[J].运筹学学报,2014,18(1):134-148. 被引量：5
3Yiyong LI Qingzhi YANG Yuning YANG.A new definition of geometric multiplicity of eigenvalues of tensors and some results based on it[J].Frontiers of Mathematics in China,2015,10(5):1123-1146.
4Xuezhong WANG,Yimin WEI.H-tensors and nonsingular H-tensors[J].Frontiers of Mathematics in China,2016,11(3):557-575. 被引量：5
5Yiju WANG,Kaili ZHANG,Hongchun SUN.Criteria for strong H-tensors[J].Frontiers of Mathematics in China,2016,11(3):577-592. 被引量：8
6赵娜,杨庆之.关于非负张量Z-谱半径的一些结果（英文）[J].高等学校计算数学学报,2016,38(2):150-171.
7梁娜,杜守强.求解对称张量绝对值方程问题的非光滑牛顿法[J].运筹学学报,2017,21(3):95-102. 被引量：4
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10Lihua YOU,Xiaohua HUANG,Xiying YUAN.Sharp bounds for spectral radius of nonnegative weakly irreducible tensors[J].Frontiers of Mathematics in China,2019,14(5):989-1015. 被引量：1

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Journal of Systems Science & Complexity

2009年第4期

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A NONLINEAR KREIN RUTMAN THEOREM 被引量：4

参考文献19

同被引文献3

引证文献4

二级引证文献14

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