Inverse spectral problem for normal matrices and the Gauss-Lucas theorem

DOI10.1090/S0002-9947-04-03649-9zbMath1080.15012OpenAlexW1510611364MaRDI QIDQ5461374

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03649-9

zbMATH Keywords

zeros of polynomials inverse spectral problem majorization normal matrices Gauss-Lucas theorem Cauchy-Poincaré interlacing theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

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Cites Work