List of Articles Interval matrix

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  1 - A note on positive deniteness and stability of interval matrices
  Hana Veiseh
  It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proo More

  It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval matrices. Manuscript profile
• Open Access Article
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  2 - A note on positive de niteness and stability of interval matrices
  H. Veiseh
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• Open Access Article
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  3 - 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 More

  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. Manuscript profile