Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues

DOI10.1016/j.laa.2012.08.038zbMath1269.15010OpenAlexW2073420020MaRDI QIDQ1931753

Wen Yan, Tin-Yau Tam

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.038

zbMATH Keywords

prescribed eigenvaluessymmetric matrixskew symmetric matrix\(k\)-th anti-diagonal

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

• Diagonal elements and eigenvalues of a real symmetric matrix
• Antidiagonals of matrices in a unitary similarity orbit
• A note on constructing a symmetric matrix with specified diagonal entries and eigenvalues
• Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices
• A Lie Theoretic Approach to Thompson's Theorems on Singular Values-Diagonal Elements and Some Related Results
• Singular Values, Diagonal Elements, and Convexity
• Kostant's convexity theorem and the compact classical groups
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
• Inequalities: theory of majorization and its applications