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Properties of Interval Vector-Valued Arithmetic Based on gH-Difference

Properties of Interval Vector-Valued Arithmetic Based on gH-Difference
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出处 《数学计算(中英文版)》 2015年第1期7-12,共6页 Mathematical Computation
关键词 向量值 区间数 多属性 算法 区间动力系统 代数方程组 运算规则 算术性质 Generalized Hukuhara Difference Generalized Hukuhara Derivative Interval Arithmetic Interval Vector-valuedSpace
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参考文献15

  • 1Moore, Ramon E. Interval analysis. Englewood Cliffs: Prentice-Hall, 1966.
  • 2Neumaier, Arnold. Interval methods for systems of equations. Cambridge: Cambridge university press, 1990.
  • 3Nedialkov, Nedialko S., Kenneth R. Jackson, and John D. Pryce. An effective high-order interval method for validating existence and uniqueness of the solution of an IVP for an ODE. Reliable Computing 7.6 (2001): 449-465.
  • 4Lin, Youdong, and Mark A. Stadtherr. Validated solutions of initial value problems for parametric ODEs. Applied Numerical Mathematics 57.10 (2007): 1145-1162.
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  • 6Hukuhara, Masuo. Integration des applications mesurables dont la valeur est un compact convexe. Funkcial. Ekvac 10 (1967): 205-223.
  • 7Stefanini, Luciano. A generalization of Hukuhara difference and division for interval and fuzzy arithmetic. Fuzzy sets and systems 161.11 (2010): 1564-1584.
  • 8Stefanini, Luciano. A generalization of Hukuhara difference for interval and fuzzy arithmetic. Working Paper EMS Series, University of Urbino, www.repee.org, 2008.
  • 9Stefanini, Luciano. A generalization of Hukuhara difference. Soft Methods for Handling Variability and Imprecision 48 (2008) : 203 -210.
  • 10Stefanini, Luciano, and Barnabas Bede. Generalized Hukuhara differentiability of interval-valued functions and interval differential equations. Nonlinear Analysis: Theory, Methods & Applications 71.3 (2009): 1311-1328.

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