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math.DG2026
The topology of tridiagonal isospectral sets
David Martínez Torres
We describe the topology of the set of tridiagonal symmetric real matrices with fixed non-simple spectrum. The tridiagonal isospectral set is not a submanifold of the corresponding…
math.DG2026
Diagonalization of the Toda flow for arbitrary isospectral symmetric matrices
David Martínez Torres, Carlos Tomei
We construct coordinates on orthogonal conjugacy classes of traceless real symmetric matrices with arbitrary spectrum (the isospectral manifold) that diagonalize the non-periodic T…