2024 : 11 : 4
Alimohammad Nazari

Alimohammad Nazari

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-3231-0340
Education: PhD.
ScopusId: 7003903991
HIndex:
Faculty: Science
Address: Arak University
Phone:

Research

Title
Inverse eigenvalue problem of interval nonnegative matrices via lower triangular matrices
Type
JournalPaper
Keywords
Interval matrix, interval arithmetics, inverse eigenvalue problem, nonnegative matrices
Year
2024
Journal Journal of Linear and Topological Algebra (JLTA)
DOI
Researchers Alimohammad Nazari ، maryam zeinali ، hamid mesgarani ، ATIYEH NEZAMI

Abstract

In this paper, for a given set of real interval numbers σ that satisfies in special conditions, we find an interval nonnegative matrix CI such that for each point set δ of given interval spectrum σ, there exists a point matrix C of CI such that δ 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