Hamiltonian square roots of skew-Hamiltonian matrices revisited

DOI10.1016/S0024-3795(00)00304-9zbMath0978.15010WikidataQ56575361 ScholiaQ56575361MaRDI QIDQ5932191

Khakim D. Ikramov

Publication date: 18 January 2002

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

zbMATH Keywords

Hamiltonian matricesHamiltonian square rootJordan formskew-Hamiltonian matricessymplectic matricessymplectic similarity

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (17)

On the \(\phi_J\) polar decomposition of matrices ⋮ Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels ⋮ Skew \(\phi\) polar decompositions ⋮ The \(\phi _S\) polar decomposition of matrices ⋮ Skew-symmetric matrix polynomials and their Smith forms ⋮ Quasi-real normal matrices and eigenvalue pairings ⋮ Spectral doubling of normal operators and connections with antiunitary operators ⋮ Computing the square roots of a class of circulant matrices ⋮ Each symplectic matrix is a product of four symplectic involutions ⋮ Every \(2n\)-by-\(2n\) complex matrix is a sum of three symplectic matrices ⋮ \(\phi_S\)-orthogonal matrices ⋮ The structure of alternating-Hamiltonian matrices ⋮ The computation of the square roots of circulant matrices ⋮ On the diagonalizability of a matrix by a symplectic equivalence, similarity or congruence transformation ⋮ Centro-affine hypersurface immersions with parallel cubic form ⋮ When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices? ⋮ The non-linear and quadratic quantization programs

Cites Work

• Hamiltonian square roots of skew-Hamiltonian matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hamiltonian square roots of skew-Hamiltonian matrices revisited