14 citations · 87 across the 38 of their papers we have counts for
4 papers · 1 filter
The complete integrability of a Lie-Poisson system proposed by Bloch and Iserles
Carlos Tomei, Luen-Chau Li
We establish the Liouville integrability of the differential equation recently considered by Bloch and Iserles. Here, is a real, fixed, skew-symmetric…
Reconstruction of tridiagonal matrices from spectral data
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tomei
Jacobi matrices are parametrized by their eigenvalues and norming constants (first coordinates of normalized eigenvectors): this coordinate system breaks down at reducible tridiago…
The topology of the monodromy map of the second order ODE
Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei
We consider the following question: given , which potentials for the second order Sturm-Liouville problem have as its Floquet multiplier? More precisely, def…
The topology of critical sets of some ordinary differential operators
Nicolau C. Saldanha, Carlos Tomei
We survey recent work of Burghelea, Malta and both authors on the topology of critical sets of nonlinear ordinary differential operators. For a generic nonlinearity , the critic…