Every \(2n\)-by-\(2n\) complex matrix is a sum of three symplectic matrices

DOI10.1016/j.laa.2016.12.016zbMath1355.15010OpenAlexW2561633064MaRDI QIDQ503427

Agnes T. Paras, Ralph John de la Cruz, Dennis I. Merino

Publication date: 12 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.12.016

zbMATH Keywords

symplectic matricesskew Hamiltonian matricessymplectic polar decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Canonical forms, reductions, classification (15A21)

Related Items (4)

WHEN IS THE SUM OF TWO J-SYMPLECTIC MATRICES J-SYMPLECTIC? ⋮ The sums of symplectic, Hamiltonian, and skew-Hamiltonian matrices ⋮ On the diagonalizability of a matrix by a symplectic equivalence, similarity or congruence transformation ⋮ NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR

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