فهرست مقالات Interval arithmetic

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  1 - The Interval Rational- Interpolation Method
  Hajar Rasekhinezhad Mozhdeh Afshar Kermani Tofigh Allahviranloo Saeid Abbasbandy Esmail Babolian
  10.30495/fomj.2022.1944092.1045
  The rational interpolation sometimes gives better approximations than polynomial interpolation particularly for large sequence of points. In this paper, for the first time we provide a combination of rational interpolation and interval data. we present applied interval چکیده کامل

  The rational interpolation sometimes gives better approximations than polynomial interpolation particularly for large sequence of points. In this paper, for the first time we provide a combination of rational interpolation and interval data. we present applied interval arithmetic in rational interpolation, when support points are interval-valued. First, we introduce the basic concepts of the algebraic theories to apply the interval methods to uncertainty analysis. Then the interpolation of interval coefficient is obtained and also the error of the proposed method is analyzed and is proved by a theorem for different cases. Some different numerical examples are given to illustrate the proposed method and the results are recorded. پرونده مقاله
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  2 - Inverse eigenvalue problem of interval nonnegative matrices via lower triangular matrices
  A. M. Nazari M. Zeinali H. Mesgarani A. Nezami
  10.30495/jlta.2024.2000556.1600
  In this paper, for a given set of real interval numbers $\sigma$ that satisfies in special conditions, we find an interval nonnegative matrix $C^I$ such that for each point set $\delta$ of given interval spectrum $\sigma$, there exists a point matrix $C$ of $C^I$ such t چکیده کامل

  In this paper, for a given set of real interval numbers $\sigma$ that satisfies in special conditions, we find an interval nonnegative matrix $C^I$ such that for each point set $\delta$ of given interval spectrum $\sigma$, there exists a point matrix $C$ of $C^I$ such that $\delta$ is its spectrum. For this purpose, we use unit lower triangular matrices and especially try to use binary unit lower triangular matrices. We also study some conditions for existence solution to the problem. پرونده مقاله