Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I).

Autor: Nazari, Alimohammad, Nezami, Atiyeh
Předmět:
Zdroj: Journal of Mathematical Modeling (JMM); Mar2024, Vol. 12 Issue 1, p117-130, 14p
Abstrakt: This paper uses unit lower triangular matrices to solve the nonnegative inverse eigenvalue problem for various sets of real numbers. This problem has remained unsolved for many years for n ≥ 5: The inverse of the unit lower triangular matrices can be easily calculated and the matrix similarities are also helpful to be able to solve this important problem to a considerable extent. It is assumed that in the given set of eigenvalues, the number of positive eigenvalues is less than or equal to the number of nonpositive eigenvalues to find a nonnegative matrix such that the given set is its spectrum. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index