Negative answer to the conjecture on the convexity of the greatest eigenvalue

DOI10.1023/A:1017548614213zbMath1035.15011OpenAlexW178113537WikidataQ122932085 ScholiaQ122932085MaRDI QIDQ1851392

Yanyan Li

Publication date: 17 December 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017548614213

zbMATH Keywords

matrix-valued function, convex function, greatest eigenvalue

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54)

Cites Work

• When is the greatest eigenvalue of a parametrized symmetric matrix a convex function of the parameter?
• On Minimizing the Maximum Eigenvalue of a Symmetric Matrix

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