Bounds for the determinant by Gershgorin circles

DOI10.1016/J.LAA.2018.10.020zbMath1405.15011OpenAlexW2898679072WikidataQ129006862 ScholiaQ129006862MaRDI QIDQ1713308

Siegfried Michael Rump

Publication date: 24 January 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.10.020

zbMATH Keywords

determinantGershgorin circlepower set product

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (3)

Verified bounds for the determinant of real or complex point or interval matrices ⋮ The determinant of a complex matrix and Gershgorin circles ⋮ Complex disk products and Cartesian ovals

Cites Work

• Remark on Weyl's Note “Inequalities Between the Two Kinds of Eigenvalues of a Linear Transformation”
• An Inequality for Latent Roots Applied To Determinants with Dominant Principal Diagonal
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