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Some ω-unique and ω-ΡProperties for Linear Transformations on Hilbert Spaces 被引量：2

Some ω-unique and ω-ΡProperties for Linear Transformations on Hilbert Spaces
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摘要 Given a real （finite-dimensional or infinite-dimensional） Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some interconnections among these concepts. In particular, we discuss the ω-unique and ω-P properties for Lyapunov-like transformations on H. The properties of the Jordan product and the Lorentz cone in the Hilbert space play important roles in our analysis. Given a real （finite-dimensional or infinite-dimensional） Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some interconnections among these concepts. In particular, we discuss the ω-unique and ω-P properties for Lyapunov-like transformations on H. The properties of the Jordan product and the Lorentz cone in the Hilbert space play important roles in our analysis.
作者 Xin-he Miao Zheng-hai Huang Ji-ye Han
机构地区 Department of Mathematics Academy of Mathematics and Systems Science
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2010年第1期23-32,共10页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China(No.10871144) the Natural Science Foundation of Tianjin(No.07JCYBJC05200)
关键词 Linear complementarity problem Jordan product Lorentz cone ω-P property column sufficient property ω-uniqueness property Linear complementarity problem, Jordan product, Lorentz cone, ω-P property, column sufficient property, ω-uniqueness property
分类号 O177.1 [理学—基础数学] TD325 [矿业工程—矿井建设]
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参考文献15

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同被引文献32

  • 1黄正海,韩继业,徐大川,张立平.The non-interior continuation methods for solving the P_0 function nonlinear complementarity problem[J].Science China Mathematics,2001,44(9):1107-1114. 被引量：16
  • 2Zhenghai Huang,Jiye Han,Dachuan Xu,Liping Zhang.The non-interior continuation methods for solving theP 0 function nonlinear complementarity problem[J]. Science in China Series A: Mathematics . 2001 (9)
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  • 4J. M. Borwein.Generalized linear complementarity problems treated without fixed-point theory[J]. Journal of Optimization Theory and Applications . 1984 (3)
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  • 9Borwein J M,Dempster M A H.The linear order complementarity problem. Mathematics of Operations Research . 1989
  • 10Chiang Y Y,Pan S H,Chen J S.A merit function method for innite-dimensional SOCCPs. . 2010

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Acta Mathematicae Applicatae Sinica
2010年 第1期

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