Hamiltonian square roots of skew-Hamiltonian matrices

DOI10.1016/S0024-3795(98)10137-4zbMath0940.15017MaRDI QIDQ1301297

Niloufer Mackey, D. Steven Mackey, Heike Fassbender, Hong-guo Xu

Publication date: 14 February 2000

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

zbMATH Keywords

algorithmseigenvaluesJordan canonical formsymplectic similarityskew-Hamiltonian matrixHamiltonian square rootsSylvester operator

Mathematics Subject Classification ID

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

Related Items (14)

Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels ⋮ Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method ⋮ Skew-symmetric matrix polynomials and their Smith forms ⋮ Products of symplectic normal matrices ⋮ Each symplectic matrix is a product of four symplectic involutions ⋮ \(m\) th roots of \(H\)-selfadjoint matrices ⋮ Hamiltonian square roots of skew-Hamiltonian matrices revisited ⋮ The structure of alternating-Hamiltonian matrices ⋮ Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems ⋮ Square roots of \(H\)-nonnegative matrices ⋮ 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? ⋮ Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence ⋮ Full description of Benjamin-Feir instability of Stokes waves in deep water

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