The structure of alternating-Hamiltonian matrices

DOI10.1016/j.laa.2004.10.003zbMath1066.15025OpenAlexW2078888601WikidataQ29032263 ScholiaQ29032263MaRDI QIDQ1763845

William C. Waterhouse

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.003

zbMATH Keywords

similarityHamiltonian matricessymplectic transformationskew-Hamiltonian matrixalternating-Hamiltonian matrixPairs of alternating forms

Mathematics Subject Classification ID

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

Related Items (4)

Existence of horizontal immersions in fat distributions ⋮ Spectral doubling of normal operators and connections with antiunitary operators ⋮ On the diagonalizability of a matrix by a symplectic equivalence, similarity or congruence transformation ⋮ When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices?

Cites Work

• Paare alternierender Formen
• Pairs of symmetric bilinear forms in characteristic 2
• Hamiltonian square roots of skew-Hamiltonian matrices
• Classification of pairs of symmetric and alternating bilinear forms
• Paare symmetrischer und alternierender Formen zweiten Grades
• Hamiltonian square roots of skew-Hamiltonian matrices revisited

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