Inverse eigenvalue problem of interval nonnegative matrices via lower triangular matrices

Author(s):

A. M. Nazari * , M. Zeinali , H. Mesgarani , A. Nezami

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Interval matrix‎ , ‎interval arithmetics‎ , ‎inverse eigenvalue problem‎ , ‎nonnegative matrices

Language:
English
Published:
Journal of Linear and Topological Algebra, Volume:12 Issue: 4, Autumn 2023
Pages:
281 to 294
https://www.magiran.com/p2673116  
سامانه نویسندگان
  • Corresponding Author (1)
    Alimohammad Nazari
    Associate Professor Appled mathematics, Mathematics, Science, University Of Arak, Arak, Iran
    Nazari، Alimohammad
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