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Conserved quantities of the discrete finite Toda equation and lower bounds of the minimal singular value of upper bidiagonal matrices. (English) Zbl 1223.37068

MSC:
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
15A42 Inequalities involving eigenvalues and eigenvectors
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