Congruences and canonical forms for a positive matrix: Application to the Schweinler–Wigner extremum principle

DOI10.1063/1.532913zbMath0951.15011arXivmath-ph/9811003OpenAlexW1999277439MaRDI QIDQ4270372

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Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9811003

zbMATH Keywords

positive definite matrixsymplectic matrixWilliamson's theorempseudo-unitary matrixcongruence to a diagonal matrixpseudo-orthogonal basesSchweinler-Wigner methodsymplectic bases

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

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Cites Work

• A new orthogonalization procedure with an extremal property
• Perturbation of periodic manifolds of hamiltonian systems
• Orthogonalization Methods
• The Exponential Representation of Canonical Matrices

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