The nonnegative inverse eigenvalue problem with prescribed zero patterns in dimension three

DOI10.13001/ELA.2024.7965MaRDI QIDQ6628857

Zhixuan (Emily) Teng, André C. M. Ran

Publication date: 29 October 2024

Published in: ELA. The Electronic Journal of Linear Algebra (Search for Journal in Brave)

zbMATH Keywords

spectrazero patternsnonnegative three by three matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)

Cites Work

• An inequality for the spectra of nonnegative matrices
• A matricial view of the Karpelevič theorem
• The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs
• Stochastic matrices realising the boundary of the Karpelevič region
• Proofs of conjectures on the Karpelevich arcs in the region of eigenvalues of stochastic matrices
• An inequality for nonnegative matrices and the inverse eigenvalue problem
• Matrix Analysis
• A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications
• A note on an inverse problem for nonnegative matrices
• The NIEP
• The nonnegative inverse eigenvalue problem with prescribed zero patterns in dimension three

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