A conjectured property of Hermitian pencils

DOI10.1016/0024-3795(83)90158-1zbMath0516.15006OpenAlexW2076386380MaRDI QIDQ1052423

William C. Waterhouse

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90158-1

zbMATH Keywords

unitary similarityHermitian pencilsdirect sum of pencilsnon- singular pencilunitary indecomposable pencils

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items

Generating systems of the full matrix algebra that contain nonderogatory matrices ⋮ Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils ⋮ A survey of canonical forms and invariants for unitary similarity ⋮ A counterexample to Kippenhahn's conjecture on Hermitian pencils ⋮ Pencils of complex and real symmetric and skew matrices

Cites Work

• On a conjecture of Kippenhahn about the characteristic polynomial of a pencil generated by two Hermitian matrices. I
• Über den Wertevorrat einer Matrix
• Pairs of quadratic forms