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Exclusion sets for eigenvalues of matrices

2017/05/04 by Suhua Li, Li, Suhua, Chaoqian Li +3
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Graph theory and applications #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.1705.01758

openalex publication_date 2017/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

To locate all eigenvalues of a matrix more precisely, we exclude some sets which do not include any eigenvalue of the matrix from the well-known Brauer set to give two new Brauer-type eigenvalue inclusion sets. And it is also shown that the new sets are contained in the Brauer set.

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