The Bidiagonal Singular Value Decomposition And Hamiltonian Mechanics

Cover The Bidiagonal Singular Value Decomposition And Hamiltonian Mechanics
The Bidiagonal Singular Value Decomposition And Hamiltonian Mechanics
Percy Deift
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W VJl-l) 9(rl, ■•n-l'V;.
.. ) is symplectic and (8. 36) holds. Fact 1 now follows from (8. 33) and (8. 34).
Remark 8. 37 The Hamiltonian HsvD on the (2n-2)-dimensionaJ leaf 5a is completely integrable in the sense of Liouville. The commuting integrals are the singular values cTi, . . . , (7, 1-1 (reccdl nr=i

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