TY - JOUR
ID - 7352
TI - Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I)
JO - Journal of Mathematical Modeling
JA - JMM
LA - en
SN - 2345-394X
AU - Nazari, Alimohammad
AU - Nezami, Atiyeh
AD - Department of Mathematics, Arak University, P.O. Box 38156-8-8943, Arak, Iran
Y1 - 2024
PY - 2024
VL - 12
IS - 1
SP - 117
EP - 130
KW - Nonnegative matrices
KW - unit lower triangular matrices
KW - Inverse eigenvalue problem
DO - 10.22124/jmm.2023.21759.2092
N2 - 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 $n \geq 5.$ 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.
UR - https://jmm.guilan.ac.ir/article_7352.html
L1 - https://jmm.guilan.ac.ir/article_7352_3f3b6276cb29703ff071720a7048095a.pdf
ER -