The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents

2022/06/06 by Xuejun Guo, Guo, Xuejun, Xin Li +5
Chemistry · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Molecular spectroscopy and chirality #Number Theory (math.NT) #Synthesis and Properties of Aromatic Compounds

paper · pdf · doi:10.48550/arxiv.2206.02592

openalex publication_date 2022/06/06 · openalex created_date 2023/02/14 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a conjecture raised by Zhi-Wei Sun in 2018 by the eigenvectors-eigenvalues identity found by Denton, Parke, Tao and X. Zhang in 2019.

Related

• Eigenvectors from eigenvalues revisited
• Generalization and Alternative Proof of Two Identities Posed by Sun
• Note on eigenvectors from eigenvalues
• On some determinant conjectures
• A Determinantal Identity for the Permanent of a Rank 2 Matrix