When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices?

DOI10.1080/03081087.2014.952729zbMath1419.15012OpenAlexW2033109494MaRDI QIDQ4981978

Vanni Noferini

Publication date: 23 March 2015

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

Full work available at URL: http://repository.essex.ac.uk/15326/1/MIMS_ep2014_15.pdf

zbMATH Keywords

Roth's theoremHamiltonian matrixcommutatorskew-Hamiltonian matrixorthogonal vector bundle

Mathematics Subject Classification ID

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

Cites Work

• On matrices of trace zero
• Jordan structures of alternating matrix polynomials
• Hamiltonian square roots of skew-Hamiltonian matrices
• Roth's theorems for matrix equations with symmetry constraints
• The structure of alternating-Hamiltonian matrices
• Several observations on symplectic, Hamiltonian, and skew-Hamiltonian matrices
• Functions of Matrices
• Structured Factorizations in Scalar Product Spaces
• Hamiltonian square roots of skew-Hamiltonian matrices revisited