10 citations · 36 across the 10 of their papers we have counts for
10 papers
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum
Ricardo S. Leite, Nicolau C. Saldanha, David Martínez Torres +1
We consider different phase spaces for the Toda flows and the less familiar SVD flows. For the Toda flow, we handle symmetric and non-symmetric matrices with real simple eigenvalue…
The geometry of spectral interlacing
Ricardo S. Leite, Carlos Tomei
We provide a detailed description of the maps associated with spectral interlacing, for rank one perturbations and bordering of symmetric and Hermitian matrices. The arguments rely…
Dynamics of the symmetric eigenvalue problem with shift strategies
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tomei
A common algorithm for the computation of eigenvalues of real symmetric tridiagonal matrices is the iteration of certain special maps called shifted steps. Such maps pre…
Convergence rates to deflation of simple shift strategies
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tomei
The computation of eigenvalues of real symmetric tridiagonal matrices frequently proceeds by a sequence of QR steps with shifts. We introduce simple shift strategies, functions sig…
The Asymptotics of Wilkinson's Iteration: Loss of Cubic Convergence
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tomei
One of the most widely used methods for eigenvalue computation is the iteration with Wilkinson's shift: here the shift is the eigenvalue of the bottom principa…
An atlas for tridiagonal isospectral manifolds
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tomei
Let be the compact manifold of real symmetric tridiagonal matrices conjugate to a given diagonal matrix with simple spectrum. We introduce {\it bidiagonal coordina…