Real Hamiltonian Polar Decompositions

DOI10.1137/S0895479899362788zbMath0982.15012OpenAlexW2047707863MaRDI QIDQ2719197

Leiba Rodman, Cornelis V. M. van der Mee, André C. M. Ran

Publication date: 21 June 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479899362788

zbMATH Keywords

Hamiltonian matricesskew-Hamiltonian matricessymplectic matricespolar decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Linear operators on spaces with an indefinite metric (47B50)

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Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels ⋮ Skew \(\phi\) polar decompositions ⋮ Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\).