Various 3 × 3 nonnegative matrices with prescribed eigenvalues and diagonal entries

In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices...

Full description

Saved in:
Bibliographic Details
Published in:Linear algebra and its applications 2018-10, Vol.554, p.15-48
Main Authors: Hwang, Jin Ok, Kim, Donggyun
Format: Article
Language:English
Subjects:
Doubly stochastic matrices
Eigenvalues
Linear algebra
Mathematical analysis
Matrix
Matrix methods
Nonnegative inverse eigenvalue problems
Nonnegative matrices
Stochastic matrices
Stochastic models
Symmetric matrices
Symmetric stochastic matrices
Symmetry
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices and real or complex stochastic matrices, to compare the other results and for completeness. In addition, for a given list of eigenvalues, we compute the exact range for the largest value of the diagonal entries of the various nonnegative matrices.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.05.002